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in Matrices by (50.8k points)

If A = \(\begin{bmatrix} 3 & -2 \\[0.3em] 4 &-2\\[0.3em] \end{bmatrix}\)find k such that A2 = kA - 2I2.

1 Answer

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by (51.9k points)
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Best answer

I2 is an identity matrix 

Substituting the value of eq. (i) and (ii) to get A2 = kA - 2I2

Thus, satisfies the equality above condition to get matrices equality.

3k - 2 = 1

k = 1

So, the value of k is 1

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