Linear algebra : Let T 1 and T 2 be linear operators on R3 defined as follows: T 1(x1, x2, x3) = (x3, -x?

Let T 1 and T 2 be linear operators on R3 defined as follows: T 1(x1, x2, x3) = (x3, -x1, x3) and T 2(x1, x2, x3) = (x3 - x1, x3 - 2x2 - x1, x1 - x3). Write the standard matrix representation for T 1 and use it to find [T 1(1, -3, 0)]E. Write the standard matrix representation for T 2. Write the standard matrix representation for T 1 + T 2. Write the standard matrix representation for T 1 T 2 and use it to find [T 1 T 2(1, -3, 0)]E. Write the standard matrix representation for the inverse transformation T 2 -1, if T 2 is an invertible transformation.