Description
1. Write vector Ü x1 − x2 + 2×3
2×3 + x1
3×3
3×4 + 3×2 + x1
ê
in the form Ax with x =
Üx1
x2
x3
x4
ê
and A
an appropriate matrix.
2. 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).
3. For each of the matrices below, specify whether it is square, rectangular, diagonal, upper-triangular or lower triangular:
A =
Å
1 − i 3 + i 5 3
0 −1 3 3 − 4i
ã
, B =
Ñ
1 − i 0 0
3 0 0
3 3 4i
é
, C =
Ñ
3 0 0
0 −3 0
0 0 −i
é
.
