Question:
The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:
The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:
4&-3bmatrix, equals:
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Matrix identities simplify polynomial expressions.
Updated On: Mar 18, 2026
- 4bmatrix2&1
2&0bmatrix - 4bmatrix0&-1
2&2bmatrix - 32bmatrix2&1
2&0bmatrix - 32bmatrix1&1
1&0bmatrix
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The Correct Option is A
Solution and Explanation
Step 1: Compute A². Multiply matrix.
Step 2: Substitute. A²+4A-5I=4bmatrix2&1
2&0bmatrix
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