Find x+y where A inverse equals xA+yI, given a quadratic matrix equation

CBSE Class 12 · Mathematics · Determinants · similar questions asked in 2 years (2023, 2026)

Q1 2023 1 mark

If for a square matrix A, $A^2 - 3A + I = O$ and $A^{-1} = xA + yI$, then the value of $x + y$ is…
Q2 2026 1 mark

If $A^2 = 4A + 3I$ and $A^{-1} = xA + yI$, then the value of $(x + y)$ is…