This repository was archived by the owner on Jun 15, 2023. It is now read-only.
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathbla.json
More file actions
388 lines (388 loc) · 18.8 KB
/
bla.json
File metadata and controls
388 lines (388 loc) · 18.8 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
{
"term": "Spring",
"course_title": "Linear Algebra",
"description": "<p>This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.</p>",
"level": "Undergraduate",
"course_section_and_tlp_urls": [
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/syllabus",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/calendar",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/readings",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/study-materials",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/tools",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/related-resources",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures"
],
"faculty": [
"Prof. Gilbert Strang"
],
"course_path": "https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010",
"course_topics": [
{
"topic": "Mathematics",
"speciality": "",
"subtopic": "Linear Algebra"
}
],
"course_image_path": "https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/18-06s10.jpg",
"pdf_list": {
"related-resources": [
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/related-resources/MIT18_06S10_gramschmidtmat.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/related-resources/MIT18_06S10_matlab.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/related-resources/MIT18_06S10_symmbases.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/related-resources/MIT18_06S10_pascal_work.pdf"
],
"assignments": [
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset1_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset2_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset3_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset4_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset5_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset6_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset7_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset8_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset9_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/assignments/MIT18_06S10_pset10_s10_sol.pdf"
],
"exams": [
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_exam1_s10.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_exam1_s10_sol.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_exam2_s10.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_exam2_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_exam3_s10.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_exam3_s10_soln.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_Final_Answers.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/exams/MIT18_06S10_Final_Exam.pdf"
],
"video-lectures": [
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L01.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L02.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L03.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L04.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L05.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L06.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L07.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L08.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L09.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L10.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L11.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L12.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L13.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L14.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L15.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L16.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L17.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L18.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L19.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L20.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L21.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L22.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L23.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L24b.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L24.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L25.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L26.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L27.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L28.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L29.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L30.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L31.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L32.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L33.pdf",
"https://ocw-origin.odl.mit.educourses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/MIT18_06S10_L34.pdf"
]
},
"master_course_number": "18.06",
"year": "2010",
"media_resources": [
{
"An Interview with Gilbert Strang on Teaching Linear Algebra": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/instructor-insights/an-interview-with-gilbert-strang-on-teaching-linear-algebra",
"YouTube": {
"youtube_id": "7UJ4CFRGd-U"
}
}
},
{
"Lecture 1: The geometry of linear equations": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-1-the-geometry-of-linear-equations",
"YouTube": {
"youtube_id": "ZK3O402wf1c"
}
}
},
{
"Lecture 2: Elimination with matrices": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-2-elimination-with-matrices",
"YouTube": {
"youtube_id": "QVKj3LADCnA"
}
}
},
{
"Lecture 3: Multiplication and inverse matrices": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-3-multiplication-and-inverse-matrices",
"YouTube": {
"youtube_id": "FX4C-JpTFgY"
}
}
},
{
"Lecture 4: Factorization into A = LU": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-4-factorization-into-a-lu",
"YouTube": {
"youtube_id": "MsIvs_6vC38"
}
}
},
{
"Lecture 5: Transposes, permutations, spaces R^n": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-5-transposes-permutations-spaces-r-n",
"YouTube": {
"youtube_id": "JibVXBElKL0"
}
}
},
{
"Lecture 6: Column space and nullspace": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-6-column-space-and-nullspace",
"YouTube": {
"youtube_id": "8o5Cmfpeo6g"
}
}
},
{
"Lecture 7: Solving Ax = 0: pivot variables, special solutions": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-7-solving-ax-0-pivot-variables-special-solutions",
"YouTube": {
"youtube_id": "VqP2tREMvt0"
}
}
},
{
"Lecture 8: Solving Ax = b: row reduced form R": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-8-solving-ax-b-row-reduced-form-r",
"YouTube": {
"youtube_id": "9Q1q7s1jTzU"
}
}
},
{
"Lecture 9: Independence, basis, and dimension": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-9-independence-basis-and-dimension",
"YouTube": {
"youtube_id": "yjBerM5jWsc"
}
}
},
{
"Lecture 10: The four fundamental subspaces": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-10-the-four-fundamental-subspaces",
"YouTube": {
"youtube_id": "nHlE7EgJFds"
}
}
},
{
"Lecture 11: Matrix spaces; rank 1; small world graphs": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-11-matrix-spaces-rank-1-small-world-graphs",
"YouTube": {
"youtube_id": "2IdtqGM6KWU"
}
}
},
{
"Lecture 12: Graphs, networks, incidence matrices": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-12-graphs-networks-incidence-matrices",
"YouTube": {
"youtube_id": "6-wh6yvk6uc"
}
}
},
{
"Lecture 13: Quiz 1 review": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-13-quiz-1-review",
"YouTube": {
"youtube_id": "l88D4r74gtM"
}
}
},
{
"Lecture 14: Orthogonal vectors and subspaces": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-14-orthogonal-vectors-and-subspaces",
"YouTube": {
"youtube_id": "YzZUIYRCE38"
}
}
},
{
"Lecture 15: Projections onto subspaces": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-15-projections-onto-subspaces",
"YouTube": {
"youtube_id": "Y_Ac6KiQ1t0"
}
}
},
{
"Lecture 16: Projection matrices and least squares": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-16-projection-matrices-and-least-squares",
"YouTube": {
"youtube_id": "osh80YCg_GM"
}
}
},
{
"Lecture 17: Orthogonal matrices and Gram-Schmidt": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-17-orthogonal-matrices-and-gram-schmidt",
"YouTube": {
"youtube_id": "uNsCkP9mgRk"
}
}
},
{
"Lecture 18: Properties of determinants": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-18-properties-of-determinants",
"YouTube": {
"youtube_id": "srxexLishgY"
}
}
},
{
"Lecture 19: Determinant formulas and cofactors": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-19-determinant-formulas-and-cofactors",
"YouTube": {
"youtube_id": "23LLB9mNJvc"
}
}
},
{
"Lecture 20: Cramer's rule, inverse matrix, and volume": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-20-cramers-rule-inverse-matrix-and-volume",
"YouTube": {
"youtube_id": "QNpj-gOXW9M"
}
}
},
{
"Lecture 21: Eigenvalues and eigenvectors": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-21-eigenvalues-and-eigenvectors",
"YouTube": {
"youtube_id": "lXNXrLcoerU"
}
}
},
{
"Lecture 22: Diagonalization and powers of A": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-22-diagonalization-and-powers-of-a",
"YouTube": {
"youtube_id": "13r9QY6cmjc"
}
}
},
{
"Lecture 23: Differential equations and exp(At)": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-23-differential-equations-and-exp-at",
"YouTube": {
"youtube_id": "IZqwi0wJovM"
}
}
},
{
"Lecture 24: Markov matrices; fourier series": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24-markov-matrices-fourier-series",
"YouTube": {
"youtube_id": "8MF3pz-oYHo"
}
}
},
{
"Lecture 24b: Quiz 2 review": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-24b-quiz-2-review",
"YouTube": {
"youtube_id": "sFxA8eIS6tA"
}
}
},
{
"Lecture 25: Symmetric matrices and positive definiteness": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-25-symmetric-matrices-and-positive-definiteness",
"YouTube": {
"youtube_id": "umt6BB1nJ4w"
}
}
},
{
"Lecture 26: Complex matrices; fast fourier transform": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-26-complex-matrices-fast-fourier-transform",
"YouTube": {
"youtube_id": "M0Sa8fLOajA"
}
}
},
{
"Lecture 27: Positive definite matrices and minima": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-27-positive-definite-matrices-and-minima",
"YouTube": {
"youtube_id": "vF7eyJ2g3kU"
}
}
},
{
"Lecture 28: Similar matrices and jordan form": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-28-similar-matrices-and-jordan-form",
"YouTube": {
"youtube_id": "z_zYQHmrh08"
}
}
},
{
"Lecture 29: Singular value decomposition": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-29-singular-value-decomposition",
"YouTube": {
"youtube_id": "Nx0lRBaXoz4"
}
}
},
{
"Lecture 30: Linear transformations and their matrices": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-30-linear-transformations-and-their-matrices",
"YouTube": {
"youtube_id": "Ts3o2I8_Mxc"
}
}
},
{
"Lecture 31: Change of basis; image compression": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-31-change-of-basis-image-compression",
"YouTube": {
"youtube_id": "vGkn-3NFGck"
}
}
},
{
"Lecture 32: Quiz 3 review": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-32-quiz-3-review",
"YouTube": {
"youtube_id": "HgC1l_6ySkc"
}
}
},
{
"Lecture 33: Left and right inverses; pseudoinverse": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-33-left-and-right-inverses-pseudoinverse",
"YouTube": {
"youtube_id": "Go2aLo7ZOlU"
}
}
},
{
"Lecture 34: Final course review": {
"path": "courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/lecture-34-final-course-review",
"YouTube": {
"youtube_id": "RWvi4Vx4CDc"
}
}
}
]
}