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Martrix test

Total questions: 7

Worksheet time: 27mins

Name
Class
Date
1.
a)

π\pi

b)

π3\frac{\pi}{3}

c)

π6\frac{\pi}{6}

d)

π2\frac{\pi}{2}

2.
a)

3

b)

±6\pm6

c)

-2

d)

8

3.

If A is a square matrix such that A2=IA^2=I then (AI)3+(A+I)37 \left(A-I\right)^3+\left(A+I\right)^3-7\ is equal to

a)

A

b)

I

c)

3A

d)

I-A

4.

The total number of possible matrices of order 3×33\times3 with each entry 2 or 1 is

a)

27

b)

18

c)

81

d)

512

5.

If area of a triangle is 35 square units with vertices (2, - 6) , (5, 4) and (k,4), then k is

a)

12

b)

- 2

c)

- 12, - 2

d)

12, - 2

6.

The equation 3xy+2z=3, 2x+y+3z=5, and x2yz=13x-y+2z=3,\ 2x+y+3z=5,\ and\ x-2y-z=1 is

a)

Consistent

b)

Inconsistent

c)

Unique solution

d)

A0\left|A\right|\ne0

7.

Find λ\lambda if the system of equation 3x2y+z=2,  λx+y3z=5,  2yx+z=63x-2y+z=2,\ \ \lambda x+y-3z=-5,\ \ 2y-x+z=6 whose A=24\left|A\right|=24

a)

2

b)

-5

c)

4

d)

1