6. Let A be an 5 x 5 matrix such that det A = 3. Suppose that starting with A, we do the following in the given order: (1) apply R1 + R2, (2) apply -2R1 + R4 → R4, (3) square it, (4) transpose it, (5) invert it. If B is the resulting 5 x 5 matrix, evaluate det B. %3D

Linear Algebra: A Modern Introduction
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Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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6. Let A be an 5 x 5 matrix such that det A = 3. Suppose that starting with A, we do the following in
the given order:
(1) apply R1 + R2,
(2) apply -2R1 + R4 → R4,
(3) square it,
(4) transpose it,
(5) invert it.
If B is the resulting 5 x 5 matrix, evaluate det B.
Transcribed Image Text:6. Let A be an 5 x 5 matrix such that det A = 3. Suppose that starting with A, we do the following in the given order: (1) apply R1 + R2, (2) apply -2R1 + R4 → R4, (3) square it, (4) transpose it, (5) invert it. If B is the resulting 5 x 5 matrix, evaluate det B.
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