CHALLENGE Do you think a matrix exists that would represent a reflection over the line x

Chapter 4, Problem 44

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QUESTION:

CHALLENGE Do you think a matrix exists that would represent a reflection over the line x = 3? If so, make a conjecture and verify it.

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QUESTION:

CHALLENGE Do you think a matrix exists that would represent a reflection over the line x = 3? If so, make a conjecture and verify it.

ANSWER:

Step 1 of 2

The given equation of line is .

Here we have to verify that, is there exist a matrix which would represent the reflection over the given line, .

It is known that, for a reflection over -axis, we need to multiply the vertex matrix on the left by .

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