A= 1
A.
/2 0 -1
0
1 0 -21
20
100
o
/0
x
2. If A = 1 -1
0 y
20 and (2A + B)T AT + A, then which one of the following is equal to B?
2
0 -1/
A. x=3 y=-2
0
4
5 -4
5.)
A. (-2 51
2
9. LET A
A.
A. 1,
/0 0 0
000
0 0 0
0
(1
1
0 and A1 = 3 0
-1,
1₂
(x+y=z=1
3. What is the solution of the system x + 2y - 3z = 1 ?
(2x + 3y - 4z = 2
A. {(1,0,0.5))
(2
A. [(0,2,1))
4.
IF A=(3) and B-¹-(2), then (AB)-¹ is equal to:
A.
(25)
c.
3
4 4 5
B.
MATRIX AND DETERMINANT
MATRIX
5. The solution of the system of linear equation of 2x - 4y - 3z = 8 is
(-3x+6y + 8z = -5
8 -3 3
-3.
2 0
A
7. 1/1=3) andB = (2), then (AB) is equal to:
A. x=-1,y=-3,2=-2 B. x=-1,y=-3,2-2 C. x=-1,y=-3,z=2 D. x=1, y=3,z=-2
6. SUPPOSE A=() and B=(22). If x is a 2x 2 matrix such that x +BT = AB, then x is equal to:
A.
(7
C.
B. (3)
D. (³)
Worksheet on Matrices
1
0
-1.
B. {(1-k, 2k, k)} C. {(2k +1,-k, k)}
B. (-3
1
x-y-2z=0
8. Which of the following is the solution set of -2x+6y=1 ?
(-x+2y+z=1
B. ((1+3k, 0, k))
-4 3-51
5)
7 and B= 2 1 7
6 5 0
5:33 PM
|||
C
1
(8 0 -41
48 80
100-4/
0
-2
then what are the values of x and y?
D. x=² y=²
If k-10, then A-1 = 2)
C. X=-3 y=2
1/1
k+105
49
D.
(-³
(-3 11)
(1-3)
x-3y - 2z = 6
11. Let A). Which of the following is necessarily true?
A. For any number k, A is invertible
C.
B.
A. 12
B. 18
C. 22
D. -18
10. Given matrix B= (¹), which of the following is a matrix Asuch that AB= A + B?
0
1
C. 1,
D.
B. (¹33)
(¹33) (¹)
D. Ø
4
(69)
0
23/04/2016
(43)
O
D.
C.
R³
0.0
If C= AB +A", then the (2, 3) entery of Cis______
-k
D. If k0, then A is invertible
2 0
00
0 4/
If k#-10, then A-¹ =10²72²)
D. (9)
r