Determinant of matrix 1

Algebra Level 1

If det(1a2b)=4\det\left(\begin{array}{cc}1& a\\2& b \end{array}\right)=4 and det(1b2a)=1,\det\left(\begin{array}{cc}1& b\\2& a \end{array}\right)=1, what is a2+b2?a^2+b^2?

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