10. (20 pts.) Prove that for any 5 x 5 matrix A with rank two, there...

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Question

10. (20 pts.) Prove that for any 5 x 5 matrix A with rank two, there are a 5 x 2 matrix B and a 2 x 5 matrix C such that A= B

Answer 1

Answer #1

Let Abe 5x5 malrix. define map T: 125 R5 Let x x. x Ax Then T has Raunk a. - dim ( Rage T) =a. W = Range T. &(T) = A. define

Answer 2

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