MATH 1025 Lecture Notes - Elementary Matrix, Permutation Matrix

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1025

Document Summary

Last time, we saw that an n n matrix a has inverse matrix a 1 if For an n n matrix a, to nd a 1 we: consider the system of equations represented by the matrix equation ax = b, where. 2 (b) use your answer to nd a solution to the matrix equation ax = b. For 2 2 matrices, we can use this algorithm to nd a simple formula for the matrix"s inverse: As observed in q1(a), if we can represent a system of equations by the matrix equation. Ax = b, and a is invertible, then: let a =2. 2: suppose you were given a matrix a whose rref is 2. If a and b are invertible n n matrices, then: (ab) 1 , (at ) 1 , (a 1) 1 , (ak) 1 , in question 1, we saw that if. 1 1# (b) " 2 3 (c) "1 3.