Question

find the standard matrix of the given linear transformation from r2 to r2 that performs a vertical shear that maps e1 to e1 3e2 with no change in e2 and then reflects the result through x2 axis

Answer 1

Answer:

[1 -3, 0 -1]

Step-by-step explanation:

Let's have two matrices A and B, such that matrix A is a complete matrix on its own, and matrix B is a complete matrix on its own too. Then, we find out that The matrices for this particular operation is

A = [1 0, 0 -1]

B = [1 3, 0 -1]

To be the standard matrix we are looking for, then we multiply matrix A by matrix B, such that

A x B = T

And then, the matrix T is

T = [1 -3, 0 -1]