Instructions: Read textbook pages 57 to 58 before working on the homework problems. Show all steps to get full credits.
Ü x1 − x2 +2x3 ê Üx1ê
- Write vector 2x3 + x1 in the form Ax with x = x2 and A
3x3 x3
3x4 +3x2 + x1 x4
an appropriate matrix.
- Find the matrix that represents the linear transform that reflects a two dimensional vector about y-axis and then rotate for 90 degree (counterclock wisely).
- For each of the matrices below, specify whether it is square, rectangular, diagonal, upper-triangular or lower triangular:
| Ñ1− i 0 0é
ã ,B = 3 0 0 ,C = 3 3 4i |
Ñ3 0 0é
0 −3 0 . 0 0 −i |
