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
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**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): \(\det (3B)\)
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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