Matrices MCQs | Matrices Multiple Choice Questions with Answers

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Questions
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
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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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