To solve the matrix equation AX = B, where A is a square invertible matrix, we multiply both sides by the inverse of A (A⁻¹) from the left. This gives X = A⁻¹B.
💡
Pro Tips
Matrix A must be square and non-singular (determinant ≠ 0).
The number of rows in B must match the size of A.
!
Fun Facts
"This method generalizes solving systems of linear equations."
"If A is singular, the equation may have no solution or infinitely many solutions."
