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Matrices MCQs | Matrices Multiple Choice Questions with Answers

Free download in PDF Matrices Multiple Choice Questions & Answers for competitive exams. These Matrices Objective Questions with Answers are important for competitive exams UGC NET, GATE, IBPS Specialist Recruitment Test.
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(1) If the order of matrix A is m×p. And the order of B is p×n. Then the order of matrix AB is ?
[A] n × p
[B] m × n
[C] n × p
[D] n × m
Answer: m × n
(2) Transpose of a rectangular matrix is a
[A] rectangular matrix
[B] diagonal matrix
[C] square matrix
[D] scaler matrix
Answer: Rectangular matrix
(3) A square matrix in which all elements except at least one element in diagonal are zeros is said to be a
[A] identical matrix
[B] null/zero matrix
[C] column matrix
[D] diagonal matrix
Answer: Diagonal matrix
(4) In matrices, columns are denoted by
[A] A
[B] B
[C] R
[D] C
Answer: C
(5) In matrices (AB)−1 equals to
[A] A−1
[B] B−1
[C] A−1 B−1
[D] B - 1 A - 1
Answer: B - 1 A - 1
(6) For a non-trivial solution | A | is
[A] |A| > 0
[B] |A| < 0
[C] |A| ≠ 0
[D] |A| = 0
Answer: |A| = 0
(7) The number of non-zero rows in an echlon form is called ?
[A] rank of a matrix
[B] cofactor of the matrix
[C] reduced echlon form
[D] conjugate of the matrix
Answer: Rank of a matrix
(8) Two matrices A and B are multiplied to get AB if
[A] both are rectangular
[B] both have same order
[C] No. of column of matrix A is equals to no. of Rows of B
[D] no of rows of A is equal to no of columns of B
Answer: No. of column of matrix A is equals to no. of Rows of B
(9) Transpose of a row matrix is
[A] zero matrix
[B] diagonal matrix
[C] column matrix
[D] row matrix
Answer: Column matrix
(10) Idea of matrices was introduced by Arthur Caylet in
[A] 18th century
[B] 19th century
[C] 20th century
[D] 21st century
Answer: 19th century
(11) If A(BC) = (AB)C, then with respect to multilpication this law is called
[A] Inverse law
[B] associative law
[C] cramers law
[D] additive law
Answer: Associative law
(12) In real numbers, additive identity is
[A] 1
[B] 3
[C] 0
[D] −1
Answer: 0
(13) Matrices obtained by changing rows and columns is called
[A] rectangular matrix
[B] transpose
[C] symetric
[D] None of Above
Answer: Transpose
(14) Additive inverse of a matrix A is
[A] adj A⁄|A|
[B] A²
[C] |A|
[D] A
Answer: adj A⁄|A|
(15) Two matrices A and B are multiplied to get AB if
[A] both are rectangular
[B] both have same order
[C] no of columns of A is equal to columns of B
[D] no of rows of A is equal to no of columns of B
Answer: No of columns of A is equal to columns of B
(16) If A and B are matrices, then which from the following is true ?
[A] AB ≠ BA
[B] (At)t ≠ A
[C] A + B ≠ B + A
[D] all are true
Answer: AB ≠ BA
(17) If A is a symmetric matrix, then At =
[A] 0
[B] A
[C] |A|
[D] diagonal matrix
Answer: A
(18) If |A| = 0, then A is
[A] zero matrix
[B] singular matrix
[C] non-singular matrix
[D] 0
Answer: Singular matrix
(19) Two matrices A and B are added if
[A] both are rectangular
[B] both have same order
[C] no of columns of A is equal to columns of B
[D] no of rows of A is equal to no of columns of B
Answer: both have same order
(20) A square or a rectangular array of numbers written within square brackets in a definite order in rows and columns is known as
[A] formula
[B] determinant
[C] matrix
[D] equation
Answer: Matrix
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