ORM2001 1. DEMOS (week 3)
1. Here you can see two matrices, A (left) and B (right).
Solve:
a) AT (the transpose of A)
b) AAT
c) A + B and A - B
d) AB and BA
e) AA and AAA
2. Below is a matrix A, and two vectors, x and y. Solve:
a) Ax
b) xTA
c) xyT
d) x Ty
3. Solve the following equations by Gauss-Jordan method:
a)
+ x1 - x 2 + x3 + x 4 = 3
+ 2x2 - x3 - 2x4 = 2
+ x2 + x3 - x 4 = 4
+ x1 + x 2 + x 3 - 4x 4 = 0
b)
+ x1 + 2x 2 - x 3 = 3
- 2x1 - x 2 = -4
- x1 + x 2 - x 3 = 1
4. Solve S C1k CT k2, when k grows from 1 to 2.
5. What is the inverse of a matrix A? What about the inverses of B and C?:
Matrix: Solve these before you hear a telephone ringing....