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Select all that apply. If B differs from A only in that a row of A is scaled by

ID: 3120282 • Letter: S

Question

Select all that apply. If B differs from A only in that a row of A is scaled by a factor of k, then det(B) = 1/k middot det(A) if A is invertible, then det(A^-1) = 1/det(A) det(A) notequalto 0 if and only if A is invertible If A is invertible, then det(A^-1) middot det(A) = 0 det(E) = 1 for any elementary matrix E corresponding to elementary row operation of adding rows det(I) = 1 where I is an n times n matrix of arbitrary dimension det(E) = 1 for any elementary matrix E corresponding to elementary row operation of switching rows det(A middot B) = det(A) middot det(B) whenever A middot B is defined

Explanation / Answer

all that applies is

1st

3rd

these are corrollary of determinants so many of them nagate or dont seem true.

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