Matrices Problem

Algebra Level 2

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

A210A+16I=0,A^2-10A+16I=0,

where b>0b>0 and I=(1001),I=\left(\begin{array}{cc}1&0\\0&1 \end{array}\right), what is the value of ab?a-b?

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