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This question is about the geometry of SVD. Let A=(33-/45/41/433-/4) (1)Find an SVD of A . Namely, find 22 orthogonal matrices U,V and a diagonal

This question is about the geometry of SVD. Let A=(33-/45/41/433-/4) (1)Find an SVD of A . Namely, find 22 orthogonal matrices U,V and a diagonal matrix such that A=UVT . (2)Recall that every 22 matrix B defines a map TB from R2 to R2 sending the point (xy) to B(xy) . Draw a picture of what happens to the unit square S with vertices (00) (01) (10) (11) under the transformation given by the matrix A in this

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