Help me, about matrices。

[sww804494555]

Given the value of the matrix, how can I use it correctly when inserting an image?
Thank you very much!

[JorjMcKie]

Image insertion currently only supports rotation angles of 0, 90, 180, 270 degrees. Not as you indicated in your image.
However, there is a way to achieve what you want:

1. Convert your image to a (temporary) PDF
2. Insert the first (and only) page of that PDF into your target page. The respective Page method show_pdf_page() works similar to insert_image() but allows arbitrary rotation angles.

Using a matrix in this process is never required and thus not supported either.

imgdoc = fitz.open(<image file>)
srcbytes = imgdoc.convert_to_pdf()
src = fitz.open("pdf", srcbytes)

# 'page' is your target page:
page.show_pdf_page(rect, # rect on the page, center of image and the rect will be equal
    src, # temp image PDF
    0, # its first (and only) page number
    rotate=angle, # desired rotation angle - any float value
)

[sww804494555]

Can the rotation angle be calculated from the values of the matrix?

[JorjMcKie]

The matrix without its translation part matrix.e, matrix.f should be the product of a scale matrix fitz.Matrix(a, d) and a rotation matrix fitz.Matrix(alpha).
I currently have no good advice other than solving the set of 4 equations behind

fitz.Matrix(a, d) * fitz.Matrix(alpha) = fitz.Matrix(37, 58, 46, -29, 0, 0)

to determine a, d, and alpha.
A rotation matrix is defined as fitz.Matrix(cos, sin, −sin, cos, 0, 0). A scale matrix has the components fitz.Matrix(a, 0, 0, d, 0, 0). So you have 4 variables and 4 equations. Once you have the values for cos and sin you can compute alpha via the arcus functions.