If a matrix A is such that 3 A3 + 2 A2 + 5 A + I = 0, then A-1 is equal to
- a)- (3 A2 + 2 A + 5I)
- b)3 A2 + 2 A + 5I
- c)- 3 A2 - 2 A - 5
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Related Test
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Dronacharya Institute
Aug 28, 2021 |
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3A3 + 2A2 + 5A + I = 0
3A3 + 2A2 + 5A + AA−1 = 0
A−1 = −3A2 − 2A − 5
3A3 + 2A2 + 5A + AA−1 = 0
A−1 = −3A2 − 2A − 5
3A3+ 2A2+ 5A + I = 03A3+ 2A2+ 5A + AA−1= 0A−1= −3A2− 2A − 5
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3A3+ 2A2+ 5A + I = 03A3+ 2A2+ 5A + AA−1= 0A−1= −3A2− 2A − 5
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