Matrices Problem

Algebra Level 2

If matrix \(A=\left(\begin{array}{cc}a& b\\b& a \end{array}\right)\) satisfies

\[A^2-10A+16I=0,\]

where \(b>0\) and \(I=\left(\begin{array}{cc}1&0\\0&1 \end{array}\right),\) what is the value of \(a-b?\)

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