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Let A = and X Solve the equation AX = I. Or in other words, solve by setting up a system of equations. Your solving for the r's in terms of a, b, c, d. This should produce a formula for he inverse of a 2 x 2 matrix.

Let A = and X Solve the equation AX = I. Or in other words, solve by setting up a system of equations. Your solving for the r's in terms of a, b, c, d. This should produce a formula for he inverse of a 2 x 2 matrix.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A = and X = Solve the equation AX = I. Or in other words, solve T4 [a b] [I1 12 T3 by setting up a system of equations. Your solving for the r's in terms of a, b, c, d. This should produce a formula for the inverse of a 2 x 2 matrix.
Transcribed Image Text:Let A = and X = Solve the equation AX = I. Or in other words, solve T4 [a b] [I1 12 T3 by setting up a system of equations. Your solving for the r's in terms of a, b, c, d. This should produce a formula for the inverse of a 2 x 2 matrix.
Expert Solution
Step 1

Given that,

A=abcd, X=x1x2x3x4

The objective is to solve, AX=I.

Take the terms,

abcd   1001

Now take R2→aR2-cR1  then we get,

ab0ad-bc   10-ca

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