[Solved] MATH307 Group Homework5

Instructions: Read textbook pages 57 to 58 before working on the homework problems. Show all steps to get full credits.

x1 x2 +2x3 x1

1. Write vector 2x^{3 + x1} in the form Ax with x = ^x2 and A

3x3 x3

3x₄ +3x₂ + x₁ x₄

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: