Assume that T is a linear transformation. Find the standard matrix of T. T: set of real numbers R squaredℝ2 first reflects points through the line x 2 equals negative x 1line x2=−x1 and then reflects points through the line x 2 equals x 1line x2=x1.

Step-by-step explanation:

Thinking process:

We will need to test the different geometric transformations.

Let's see how this can be done:

Let the shear transformation be represented by the matrix S such that

Then, let the image be reflected by the reflection R, such that:

R = is reflected across the point

then the vector will be =

This is the mirror image.

Then it means that and

Thus, the standard matrix is given by:

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step-by-step explanation: