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Linear Algebra With Applications
Found in: Page 160
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

In Exercises 25 through 30, find the matrix B of the linear transformation T(x)=A(x) with respect to the basis J=(v1,..,vm).


The matrix is, B=64-43.

See the step by step solution

Step by Step Solution

Step 1: Consider the vectors.

The matrix and vectors are,


Step 2: Compute the matrix using formula.

The formula is, B=S-1AS .

Compute the matrix S

The inverse of the matrix is,

S=abcd S-1=1ad-bcd-b-ca

For S put the values.

role="math" S=v1,v2 =1121 S-1=1-11-1-21

Substitute these values in the formula.

B=S-1AS B=1-11-1-2101231121 B=64-43

Step 3: Final answer.

The matrix is, B=64-43 .

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