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 \(a-b?\)
by
Sandeep Mehra