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Find the power of a for the matrix a = 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 -1?

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Final answer:

To find the power of the matrix a, we need to calculate the determinant of the matrix raised to that power.

Step-by-step explanation:

The power of a matrix can be found by taking the determinant of the matrix raised to that power. In this case, the matrix a is a 3x3 matrix. To find the power of a, we can calculate the determinant of the matrix raised to that power. So, to find the power of a for the given matrix, we need to find det(a) raised to the desired power. The determinant of a 3x3 matrix can be calculated using various methods such as expanding along a row or column or using cofactors. Once we calculate the determinant, we can raise it to the desired power.

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