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Chapter 2: Q2-1E (page 107)

True or False

The matrix [56-65] represents a rotation combined with scaling.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Write the given information:

Given a matrix56-65

02

Determine the scaling of the matrix as:

In the given matrix56-65.

The magnitude of each vector is not equal to one, so definitely the matrix represents scaling.

03

Check for the rotation

The rotation matrix is of the form a-bba.

Let a=5and b=6, so role="math" localid="1664166734329" 56-65is a rotation matrix.

The statement is true, the matrix role="math" localid="1664166796886" 56-65 represents a rotation combined with scaling.

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