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3. Suppose A € M5,5 (R) and det(A) = -3. Find each of the following: (a) det(A¹), det (A-¹), det(-2A), det(A²) (b) det(B), where B is obtained from A by performing the following 3 row operations in the given order: (i) 6R₁ + R₂ (ii) 5R3 (iii) R4 R5.

3. Suppose A € M5,5 (R) and det(A) = -3. Find each of the following: (a) det(A¹), det (A-¹), det(-2A), det(A²) (b) det(B), where B is obtained from A by performing the following 3 row operations in the given order: (i) 6R₁ + R₂ (ii) 5R3 (iii) R4 R5.

Advanced Engineering Mathematics
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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3. Suppose A € M5,5(R) and det(A) = −3. Find each of the following: (a) det(A¹), det(A−¹), det(−2A), det(A²) (b) det(B), where B is obtained from A by performing the following 3 row operations in the given order: (i) 6R₁ + R₂ (ii) 5R3 (iii) R4 ↔ R5.
Transcribed Image Text:3. Suppose A € M5,5(R) and det(A) = −3. Find each of the following: (a) det(A¹), det(A−¹), det(−2A), det(A²) (b) det(B), where B is obtained from A by performing the following 3 row operations in the given order: (i) 6R₁ + R₂ (ii) 5R3 (iii) R4 ↔ R5.
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