MAT 211 Lecture Notes - Lecture 7: Invertible Matrix, Gaussian Elimination, Determinant
Document Summary
4. 3 & 3. 6 inverting n x m matrix a. 1: perform the gauss-jordan reduction method to get rref. If it is possible to get rref in this form. If it is not possible to get rref in this form, then the inverse matrix dne. If the determinate a = 0 then a does not exist. If a does not exist then the determinate a = 0. Solving system of linear equations using inverse matrix. Method 1: perform gauss-jordan row reduction to get rref. Only the number 0 does not have an inverse. 0 multiplied by any number is always 0. A does not exist even if a is not the 0 matrix. Deta = product of the diagonal entries: a has 0 row or column, one row/column is a multiple of the other row/column. Use the cramer rule to solve the system.
