Q.A = [[8, 0], [4, -2]] and B = [[2, -2], [-5, 1]], find another matrix X where 2A + 3X = 5B.

Addition of two matrices of the same order is defined entrywise, $A+B=[a_{ij}+b_{ij}]$, and is undefined if the orders differ. Scalar multiplication of a matrix $A$ by a real number $k$ is likewise entrywise, $kA=[k\,a_{ij}]$, and subtraction $A-B$ is defined as $A+(-1)B$. Both operations satisfy laws that directly mirror ordinary real-number arithmetic: addition is commutative ($A+B=B+A$) and associative ($(A+B)+C=A+(B+C)$), has an additive identity (the zero matrix) and additive inverses ($-A$), and scalar multiplication distribute …