Let A be a nonsingular 2 2 matrix with singular value decomposition A = USVT and
Question:
(a) AV = US.
(b) Av1 = s1u1 and Av2 = s2u2.
(c) v1 and v2 are orthogonal unit vectors and the images Av1 and Av2 are also orthogonal.
(d) ||Av1|| = s1 and ||Av2|| = s2.
Set
A = [1, 1; 0.5, -0.5]
and use MATLAB to verify each of the above statements.
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Step by Step Answer:
a If A USV T then AV USV T V US b AV Av 1 Av 2 and US s 1 u 1 s 2 u 2 Since AV US their c...View the full answer
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