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Linear Algebra With Applications
Found in: Page 54
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

Consider the circular face in the accompanying figure. For each of the matrices A in Exercises 24 through 30, draw a sketch showing the effect of the linear transformationT(x)=Axon this face.

28. [1002]

By a factor of2, the face gets scaled along y-axis.

The required graph is,

See the step by step solution

Step by Step Solution

Step by Step Explanation: Step 1: Consider the matrix

Let the matrix be,



localid="1659703886095" T(x)=AxT(x)=1002x

Step 2: Compute the matrix

The matrix is,


Step 3: Graph the matrix

Now, graph the obtained vectors on the given circular face.

Hence, T(x) is obtained by scaling the vectorx by a factor of 2 .

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