Question

1. Determine the order of following matrices:

(a) A= [1 2 4]

(b) B=

1	2	3
a	b	c

(c) C=

1	2	3	0
a	0	c	-1
a	b	c	2

2. Write the augmented matrix for the system of linear equations.

(a) 2x + 3y +7z =1

3x-2z= -1

3. Write the matrix in row-echelon form:

1	2	-1	3
3	7	-5	14
-2	-1	-3	8

4. Write the partial fraction decomposition of the rational expression.

1/4x^2-9

5. A total of $32, 000 is invested in two municipal bonds that pay 5.75% and 6.25% simple interest. The investor wants an annual interest income of $1900 from the investments. What amount should be invested in the 5.75% bond?

Answer 1