Suppose A, B are 3x3 matrices, det A = 6, and det B = -5. Find the following determinants. (a): det (B-' A) (b): det (Aª B) (c): det (3B)
Suppose A, B are 3x3 matrices, det A = 6, and det B = -5. Find the following determinants. (a): det (B-' A) (b): det (Aª B) (c): det (3B)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Problem Statement:**
Suppose \( A, B \) are \( 3 \times 3 \) matrices, \(\det A = 6\), and \(\det B = -5\). Find the following determinants:
(a): \(\det \left( B^{-1} A \right)\)
(b): \(\det \left( A^T B \right)\)
(c): \(\det (3B)\)
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