Based on the given matrix equation, the value of x and y are ±6 and 16 respectively.
In order to solve for the value of x and y, we would create an equation from the upper and lower part of this matrix respectively.
x² - 4 = 32 ...........(upper part)
y + y - 4 = y + 6 ....(lower part)
Next, we would solve for x:
x² - 4 = 32
x² = 32 + 4
x² = 36
x = ±√36
x = ±6.
For the value of y, we have:
y + y - 4 = y + 6
2y - 4 = y + 6
2y - y = 6 + 10
y = 16.
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