written-assignment-4-math-225-spring-2016.pdf

Just see the question in the picture

Let T : R3 ! R2 be the linear transformation such that 0x1 2x + z

T @ yz A = 2 y . There are orthonormal bases B for R3 and C for R2 such that [T ]C

B is a matrix of the form for some numbers 1, 2. Find B, C, 1 and 2 and show your work. (Hint: SVD).

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