When a Matrix or Transformation Can Be Undone Worksheet with Answer Key

What's on the worksheet

1. Luis hides the answer word of a treasure hunt as letter numbers, A = 1 up to Z = 26, cut into pairs.
2. Each formula below defines a linear map T.
   T(x, y) = (2x - y,\ x + 3y)T(x, y) = (x - 2y,\ 3x - 6y)T(x, y) = (x + y,\ x - y,\ 2x)T(x, y, z) = (x + z,\ y - z)T(x, y, z) = (x + y,\ y + z,\ x - z)
3. Each map below goes from R² to R²:
4. Let T(x) = Ax from R³ to R², where A = \begin{bmatrix} 1 & 2 & 1 \\ 0 & 1 & 3 \end{bmatrix}.
5. Let E = \begin{bmatrix} 1 & 2 \\ 1 & 3 \\ 1 & 1 \end{bmatrix}.