A^2 - 2A + 3I is:a.First row [8 7 -3], second row [1 13 7] and third row [2 17 22]b.First row [-1 7 -3], second row [0 1 -5] and third row [4 1 25]c.First row [8 1 0], second row [1 1 0] and third row [0 -7 22]d.First row [-7 5 -3], second row [1 18 15] and third row [-2 11 12]
Question
A^2 - 2A + 3I is:a.First row [8 7 -3], second row [1 13 7] and third row [2 17 22]b.First row [-1 7 -3], second row [0 1 -5] and third row [4 1 25]c.First row [8 1 0], second row [1 1 0] and third row [0 -7 22]d.First row [-7 5 -3], second row [1 18 15] and third row [-2 11 12]
Solution
The matrix A^2 - 2A + 3I can be found by performing the following steps:
- Calculate A^2 by multiplying matrix A by itself.
- Multiply each element of A by 2.
- Subtract the result from step 2 from the result of step 1.
- Add 3 times the identity matrix (I) to the result of step 3.
By following these steps, we can determine the correct answer.
Similar Questions
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