linear transformation ad standard basis

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.

don't know what you mean exactly but the procedure is quite simple:

find once you got the images, then transpose each vector and you'll get the matrix.

what answer would you get? I just want to make sure that I am doing this right. Thanks for your help.

no time now for giving you the answer but, first we have

so the first column of your matrix is Do the same for the others and you'll get the matrix which represents your transformation.