Download PDF
Free download in PDF Class 12 Maths Chapter 3 Matrices Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>
(1)
If A is a m × n matrix such that AB and BA are both defined, then B is an
[A]
m × n matrix
[B]
n × m matrix
[C]
n × n matrix
[D]
m × m matrix
(2)
If AB = A and BA = B, then
[A]
B = 1
[B]
A = I
[C]
A² = A
[D]
B² = I
(3)
A square matrix A = [aij]n×n is called a lower triangular matrix if aij = 0 for
[A]
i = j
[B]
i < j
[C]
i > j
[D]
None of these
(4)
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is
[A]
18
[B]
512
[C]
81
[D]
None of these
(5)
For any two matrices A and B, we have
[A]
AB = BA
[B]
AB ≠ BA
[C]
AB = 0
[D]
None of these
(6)
If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to
[A]
A
[B]
I – A
[C]
I + A
[D]
3 A
(7)
If A is matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is
[A]
m × m
[B]
n × n
[C]
n × m
[D]
m × n
(8)
If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is
[A]
m × 3
[B]
3 × 3
[C]
m × n
[D]
3 × n
(9)
For any unit matrix I
[A]
I² = I
[B]
|I| = 0
[C]
|I| = 2
[D]
|I| = 5
(10)
A matrix A = [aij]m×n is said to be skew symmetric if
[A]
aij = 0
[B]
aij = aji
[C]
aij = -aji
[D]
aij = 1
(11)
If A and B are square matrices then (AB)’ =
[A]
B’A’
[B]
A’B’
[C]
AB’
[D]
A’B’
(12)
Let A be a non-singular matrix of the order 2 × 2 then |A-1|=
[A]
|A|
[B]
1/|A|
[C]
0
[D]
1
[A]
|A| = 0
[B]
A-1 exists
[C]
A-1 does not exist
[D]
None of these
(14)
A² – A + I = 0 then the inverse of A
[A]
A
[B]
A + I
[C]
I – A
[D]
A – I
(15)
If a matrix is both symmetric matrix and skew symmetric matrix then
[A]
A is a diagonal matrix
[B]
A is zero matrix
[C]
A is scalar matrix
[D]
None of these
(16)
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is
[A]
9
[B]
27
[C]
81
[D]
512
(17)
If A and B are matrices of same order, then (AB’ – BA’) is a
[A]
skew symmetric matrix
[B]
null matrix
[C]
symmetric matrix
[D]
unit matrix
Answer: skew symmetric matrix
(18)
A square matrix A = [aij]n×n is called a diagonal matrix if aij = 0 for
[A]
i = j
[B]
i < j
[C]
i > j
[D]
i ≠ j
(19)
If A and B are 2 × 2 matrices, then which of the following is true?
[A]
(A + B)² = A² + B² + 2AB
[B]
(A – B)² = A² + B² – 2AB
[C]
(A – B)(A + B) = A² + AB – BA – B²
[D]
(A + B) (A – B) = A² – B²
Answer: (A – B)(A + B) = A² + AB – BA – B²
(20)
A = [aij]m×n is a square matrix if
[A]
m = n
[B]
m < n
[C]
m > n
[D]
None of these
Please share this page
Chapters