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Determinants2

Total questions: 8

Worksheet time: 51mins

Name
Class
Date
1.
a)

0

b)

1

c)

-1

d)

2

2.

what are the values of

 A13, A21 and A23A_{13},\ A_{21}\ and\ A_{23}  ?

a)

90, -4, 7

b)

90, 46, 7

c)

30. -4, 13

d)

30, 4, 13

3.
a)
b)
c)
d)
4.

Find the area of the triangle whose vertices are (3, 8), (-4, 2) and (5, 1)?

a)

-

612-\frac{61}{2}

b)

512\frac{51}{2}

c)

612\frac{61}{2}

d)

512-\frac{51}{2}

5.

 If A is a matrix of order 3×3, then number of minors in the determinant of A Are .........If\ A\ is\ a\ matrix\ of\ order\ 3\times3,\ then\ number\ of\ \min ors\ in\ the\ \det er\min ant\ of\ A\ Are\ (a)     

6.

 Solution of the the following system of linear equations xy+2z=1, 2y3z=1, 3x2y+4z=2 is given bySolution\ of\ the\ the\ following\ system\ of\ linear\ equations\ x-y+2z=1,\ 2y-3z=1,\ 3x-2y+4z=2\ is\ given\ by  

a)

 x=0, y=5, z=3x=0,\ y=5,\ z=3  

b)

 x=1, y=2, z=3x=1,\ y=2,\ z=3  

c)

 x=0, y=3, z=5x=0,\ y=3,\ z=5  

d)

 x=3, y=0, z=5x=3,\ y=0,\ z=5  

7.

 Calculate the value of the following: A36A2+5A ?Calculate\ the\ value\ of\ the\ following:\ A^3-6A^2+5A\ ?  

a)

 11I-11I  

b)

 11I11I  

c)

 10I10I  

d)

 10I-10I  

8.

 If A and B are two square matrices of same order, then (AB)1is equal to ?If\ A\ and\ B\ are\ two\ square\ matrices\ of\ same\ order,\ then\ \left(AB\right)^{-1}is\ equal\ to\ ?  

a)

 B1A1B^{-1}A^{-1}  

b)

 A1B1A^{-1}B^{-1}  

c)

 AB1AB^{-1}  

d)

 A1BA^{-1}B