The pdf contains multiple type questions on the topic DETERMINANTS.
The pdf contains the most important questions and covers all the topics in depth.
Answers have been also given on the last page.
7.Iffor matrixA, |A|= 3, wherematrix A isof order2×2,then|5A|is
a)9 b)75 c)15 d)2
8. IfAis a squarematrixsuchthat A2=I, then A-1is equal to
a) 2A
b) O
c) A
ZIET, BHUBANESWAR Page 1
, d) A+I
9. Giventhat A isasquarematrix of order 3 and|A|=-4,then|adj A|is equalto
a)4
b)-4
c)16
d)-16
10. Whichofthe followingisa correctstatement?
a) Determinantisasquarematrix
b) Determinantisanumberassociatedtoamatrix
c) Determinantisa numberassociated withtheorderofthematrix
d)Determinantisanumberassociatedtoasquarematrix
11. The minor Mij of an element aij of a determinant is defined as the value of the
determinant obtained after deleting the
(a) jth row of the determinant
(b) ith column and jth row of the determinant
(c) ith row and jth column of the determinant
(d) ith row of the determinant
12. If A and B are any 2 × 2 matrices , then det. (A+B) = 0 implies
(a) det A = 0 and det B = 0
(b) det A = 0 or det B = 0
(c) detA + det B = 0
(d) None of these
13. If A is a square matrix of order 3 and |A| = 7 then |AT| =
ZIET, BHUBANESWAR Page 2
, (a) 7
(b) 21
(c) 1/7
(d) 3
14.In a third order determinant, each element of the first column consists of sum of two
terms, each element of the second column consists of sum of three terms and each element
of the third column consists of sum of four terms. Then it can be decomposed into n
determinants, where n has value
(a) 1
(b) 9
(c) 24
(d) 16
3 𝑥 3 2
15.The values of x for which | |=| |
𝑥 1 4 1
a. 2 b. √2 c. −√2 d. ±2√2
16. Let A be a square matrix of order 3 then |kA| is equal to
a) K |A| b) k2|A| c) k3|A| d) 3K|A|
17. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.
(a) 2
(b) 3
(c) 4
(d) 5
5 3 8
18. The minor of the element a23 in [2 0 1]
1 2 3
(a) 7
(b) -7
(c) 4
(d) 8
2 𝜆 −3
19. If A =[0 2 5 ] then A-1 exists if
1 1 3
(a) λ = 2
(b) λ ≠ 2
ZIET, BHUBANESWAR Page 3
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