Problem 6. Let A and B be invertible n x n matrices such that det A = 2 and det B = 3. Then equals which of the following? (a) -1 (b) 0 (c) 1 (d) 3 (e) None of the above 6det (A-¹)-3det (BT) det (AB)

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Problem 6. Let A and B be invertible n x n matrices such that det A = 2 and det B = 3
Then
equals which of the following?
(a) -1
(b) 0
(c) 1
(d) 3
(e) None of the above
6det (A-¹)-3det (BT)
det (AB)
Transcribed Image Text:Problem 6. Let A and B be invertible n x n matrices such that det A = 2 and det B = 3 Then equals which of the following? (a) -1 (b) 0 (c) 1 (d) 3 (e) None of the above 6det (A-¹)-3det (BT) det (AB)
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