If and is the transpose of , then is
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If and is the transpose of , then is
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If A=[1 0 0 0; 2 2 0 0; 3 2 -2 0; 4 3 2 -1] and Aᵀ is the transpose of A, then det (AᵀA) is (A) 16 (B) -16 (C) 4 (D) -4
Also written as: If A=[1 0 0 0; 2 2 0 0; 3 2 -2 0; 4 3 2 -1] and A^T is the transpose of A, then det (A^TA) is
Matrices, determinants and linear systems has come up 102 times in 7 exams since 2006.
This question is on Determinants and their properties, part of Matrices, determinants and linear systems in Mathematics.
Computing determinants and how row and column operations change them.
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Question from the DSE 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.