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Linear Algebra With Applications
Found in: Page 57
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

Question 8: Find the inverse of linear transformation



Inverse of the transformation isT-1(x1,x2)=(-20x1+7x2,3x1-x2) .

See the step by step solution

Step by Step Solution

Step1: System of equations

We have given a linear transformation with


Step2: Linear Transformation

Let T be linear transformation from R2R2.

Then, according to given equations.


Step3: Matrix for linear transformation

The matrix representation of T by 2x2 matrix.


Inverse of matrix is calculated as

First of all we will find the determinant of matrix.


Inverse of matrix= .A-1=-2073-1

Hence, inverse of the transformation will be


Hence, inverse of the transformation isdata-custom-editor="chemistry" T-1(x1,x2)=(-20x1+7x2,3x1-x2)

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