What theorem(s) should be used to examine the quantity det Upper A Superscript negative 1? Select all that apply. A. A square
matrix A is invertible if and only if det Upper Anot equals0. Your answer is correct.B. If one row of a square matrix A is multiplied by k to produce B, then det Upper Bequalsktimes(det Upper A ). Your answer is not correct.C. If A is an ntimesn matrix, then det Upper A Superscript Upper Tequalsdet Upper A. D. If A and B are ntimesn matrices, then det ABequals(det Upper A )(det Upper B ). Your answer is correct. Consider the quantity (det Upper A )(det Upper A Superscript negative 1 Baseline ). To what must this be equal? A. det Upper A Superscript negative 1 B. det Upper I Your answer is correct.C. det Upper A D. det Upper A squared To what scalar must this new determinant be equal?
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