1 1 Consider the matrix A The inverse of A is a matrix A-1 9-1 = \[ c d] " a b] that satisfies Га b] [1 [1 01 A¹A I. Multiply out set it equal to cd9 -1 01 come up with a system of 4 equations for the unknowns a, b, c and d. Then solve that system of unknowns using basic algebra. Use the values you obtain to write down the inverse matrix: • and equate corresponding entries to A-1=
1 1 Consider the matrix A The inverse of A is a matrix A-1 9-1 = \[ c d] " a b] that satisfies Га b] [1 [1 01 A¹A I. Multiply out set it equal to cd9 -1 01 come up with a system of 4 equations for the unknowns a, b, c and d. Then solve that system of unknowns using basic algebra. Use the values you obtain to write down the inverse matrix: • and equate corresponding entries to A-1=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 11E
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