Compute the standard matrix


Compute the standard matrix representing each of the following linear transformations from R2 to R2:

(a) L is the linear transformation that doubles the length of x and then reflects it about the x2 axis.

A=

(b) L is the linear transformation that rotates x 180 degrees counterclockwise and then reflects it across the x1 axis.

A=

(c) L is the linear transformation that reflects x across the line x2=x1 and then rotates it 45 degrees counterclockwise

A=

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Mathematics: Compute the standard matrix
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