For a square matrix A, A is invertible if and only if AA^T is

inhiba5f

inhiba5f

Answered question

2022-09-05

For a square matrix A, A is invertible if and only if A A T is

Answer & Explanation

vermieterbx

vermieterbx

Beginner2022-09-06Added 14 answers

True. note det ( A A T ) = det ( A ) det ( A T ) = [ det ( A ) ] 2 . Conclude det ( A ) = 0 det ( A A T ) = 0
albiguguiismx

albiguguiismx

Beginner2022-09-07Added 2 answers

det ( A A t ) = det ( A ) det ( A t ) = det ( A ) 2 .
Hence det ( A ) = 0 det ( A A t ) = 0

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