Answer with Step-by-step explanation:
We are given that
is an eigenvalue of A.
We have to prove that
is an eigenvalue of 
is eigenvalue of A then, there exist an eigen vector x such that

Multiply by A on both sides then we get




Therefore,
is an eigen value of
Hence, proved.
<span>x - 8y = 46.5
x - 13y = 39.0
subtract the equations to solve for y
5 y = 46.5 - 39
y = 1.5 so he saves 1.5 seconds per step he runs.
sub in y to solve for x
x - 8 (1.5) = 46.5
x - 12 = 46.5
x = 58.5 seconds </span>
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