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2 (²-4). Find the inverse of the matrix A =

2 (²-4). Find the inverse of the matrix A =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the inverse of the matrix A = A-1 ab = (²24) 3). sin (a) f di an B Pa
Transcribed Image Text:Find the inverse of the matrix A = A-1 ab = (²24) 3). sin (a) f di an B Pa
Expert Solution
Step 1: About inverse of a matrix

Given, 

A equals open square brackets table row 2 cell negative 1 end cell row 2 cell negative 4 end cell end table close square brackets

we know that if matrix A is, A equals open square brackets table row a b row c d end table close square brackets

Than inverse of this matrix is , 

A to the power of negative 1 end exponent equals fraction numerator 1 over denominator a d minus b c end fraction open square brackets table row d cell negative b end cell row cell negative c end cell a end table close square brackets

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