Exercise 425 Let k and n be positive integers, let v eR”, and let A €...

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Exercise 425 Let k and n be positive integers, let v eR”, and let A € Mkxn(R). Show that Av = 0 if and only if A? Av= 0.

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Let then, convensely AE MKCR), & Av=o for Lee R. ATAU = ATO=0 set ATAU oo for VER. to show. - Av=0 since, =) =) ATAU = 0 UT In converse part we are multiplying v^T both side of the equation A^T Av= 0. And first part is straightforward as shown in the answer.

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Exercise 425 Let k and n be positive integers, let v eR”, and let A €...

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