Let T: R^3-->R^3 be a linear transformation defined by T(x, y, z)=(2x+y, x+2z, x+y+z). Find the matrix A of T relative to the standard basis of R^3.
I know what the standard matrix is of R^3 I'm just confused by the 'A of T'. Does that mean that I take the coefficient matrix of T combined with the standard basis of R^3 and row reduce it as if I was finding change-of-coordinate vectors?
Thank you to anyone who can set me on the right path.