Do you understand what the question is asking? Suppose v= <w, x, y, z>. What is Av? That's all you need to say.

This says, then that A(1,1,1)= 1(1,1,1)+ 1(1,0,0)+ 1(0,1,0), A(1,0,0)= 1(1,1,1)+ 0(1,0,0)+ 0(0,1,0), and A(0,1,0)= 0(1,1,1)+ 1(1,0,0)+ 0(0,1,0). How do you "describe" that linear transformation? What is A(x,y,z)?2. let A= and and . Determine the linear transformation respectively such that .

There are two ways to do this.3. If is the matrix of a linear map relative to standard basis, then find the matrix relative to the standard basis.

One: find the inverse matrix.

Two: recognize that this matrixrotatesevery point by an angle . The inverse of that is to rotateback. That's the same as rotating by what angle?