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Step-by-step explanation:
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Step-by-step explanation:
As the given matrices are equal, their corresponding elements are also equal. Comparing the corresponding elements, we get:
x+y=6,xy=8,5+z=5
Now, 5+z=5⇒z=0
We know that:
(x−y)² =(x+y)² −4xy
⇒(x−y)² =36−32=4
⇒x−y=±2
Now, when x−y=2 and x+y=6, we get x=4 and y=2
When x−y=−2 and x+y=6, we get x=2 and y=4
∴x=4,y=2 and z=0orx=2,y=4 and z=0
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