[SOLVED] MATH307-Group Homework 5

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Ü x1 − x2 +2x3 ê                    Üx

  1. Write vector 2x3 + x1           in the form Ax with x =   x2          and A

3x3                                                                                             x3

3x4 +3x2 + x1                                                                                  x4

an appropriate matrix.

  1. 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).
  2. 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