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 $$a-b?$$

×

Problem Loading...

Note Loading...

Set Loading...