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Answer:
<h2>x = 9, y = -72/5</h2>Step-by-step explanation:
Given the 2 by 2 matrix , we are to find the value of x and y for the expression A² = A to be true.
First we need to find A² by multiplying the same matrix together
Equating the first row and second column of both matrices together, we will have;
5x-40 = 5
add 40 to both sides of the equation
5x-40+40 = 5+40
5x = 45
x = 45/5
x = 9
Similarly, we will equate the second row and second column of both matrices to have;
5y+64 = -8
Subtract 64 from both sdies
5y+64-64 = -8-64
5y = -72
y = -72/5
<em>Hence the value of x is 9 and y is -72/5</em>
