Matrices  MCQs

MCQs of Matrices

Showing 1 to 10 out of 92 Questions
1.
A is a 3 × 3 matrix, then |3A| = _____ |A|
(a) 3
(b) 6
(c) 9
(d) 27
Answer:

Option (d)

2.

If A = [aij]n × n such that aij = 0 for i ≠ j then A is _____ (aij  ≠ ajj ) (n > 1)

(a) a column matrix
(b) a row matrix
(c) a diagonal matrix
(d) a scalar matrix
Answer:

Option (c)

3.
A =00-10-10-100 , the correct statement is _____ .
(a) A-1 does not exist
(b) A = (-1) I3
(c) A2 = I
(d) A is a diagonal matrix
Answer:

Option (c)

4.

A is 3 × 4 matrix, if ATB and BAT are defined then, B is a _____ matrix.

(a)

4 × 3

(b)

3 × 3

(c)

4 × 4

(d)

3 × 4

Answer:

Option (d)

5.

If A is skew-symmetric 3 × 3 matrix, |A| = _____ .

(a) 1
(b) 0
(c) -1
(d) 3
Answer:

Option (b)

6.
The system of equations ax + y + z = a – 1, x + ay + z = a – 1 and x + y + az + a – 1 does not have unique solution if a = _____.
(a) 1
(b) 3
(c) 2
(d) -1
Answer:

Option (a)

7.
If A = abba and A2 =xyyx , then x = _____, y = _____ .  
(a)

x = a2 + b2 , y = a2 - b2

(b)

x = 2ab, y = a2 + b2

(c)

x = a2 + b2 , y = ab

(d)

x = a2 + b2 , y = 2ab

Answer:

Option (d)

8.
The solution set of x - 2y = 4 and -3x + 5y = - 7 is _____ .
(a) {(6,5)}
(b) {(-6,-5)}
(c) {(6,-5)}
(d) {(-6,5)}
Answer:

Option (b)

9.
If α and β are not the multiple of   π2  and  cos2αcosα sinαcosα sinαsin2α× cos2β sinβ cosβ sinβ cosβsin2B = 0000, then α - β is _____ .
(a) Any multiple of π
(b) odd multiple ofπ2
(c) 0
(d) odd multiple of π
Answer:

Option (b)

10.
If x01y - 2-4-3-4 = 3563 - 2121, then x _____, y _____ .
(a) x = 3, y = 2
(b) x = 3, y = -2
(c) x = -3, y = -2
(d) x = -3, y = 2
Answer:

Option (b)

Showing 1 to 10 out of 92 Questions