Hello! I have som problems with this one. maybe someone can help me?
Find the standard matrix for the linear transformation.
T: R^2 --> R^2 dilates a vector by a factor of 3, then reflects that vector about the line y=x, and then projects that vector orthogonally onto the y-axis.
I am supposed to use this theorem while solving :
"Let T: R^n --> R^m be a linear transformation, and suppose that vectors are expressed in column form.
If e1, e2,...,en are the standard vectors in R^n, and if x is any vector in R^n, then T(x) can be expressed as
T(x)=Ax where A = [T(e1) T(e2) ... T(en)]"