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Shield apex trigger shoeSolve the following system of linear equations by using the inverse matrix. method: 1. Solution: This is the matrix equation that represents the system. If then . This is the determinant and the inverse of the coefficient matrix. The common point or solution is (4, -1).

Matrix A is invertible if and only if det(A) 6= 0 . Proof. If A is invertible, then it is a product of elementary matrices. Then, by the mentioned property, the determinant of A is product of determinants of these matrices. Each of these determinants is nonzero as it must be ¡1, r 6= 0 or 1. Therefore det(A) 6= 0.