[Video Solution] For some α, β \in R, let A = \beginbmatrix α & 2 \ 1 & 2 \endbmatrix and B = ... | ASPIRE STUDY

For some α, β \in R, let A = \beginbmatrix α & 2 \ 1 & 2 \endbmatrix and B = \beginbmatrix 1 & 1 \ 1 & β \endbmatrix be such that A^2 - 4A + 2I = B^2 - 3B + I = O. Then (\det(\textadj(A^3 - B^3))) is equal to ______ | Watch the step-by-step video solution for this NIMCET PYQ.