45 + Mcqs in Matrices, Determinants and their applications in SRMJEEE Page 1 McqOptions

1.	Vertically arranged elements in a matrix are called
A.	columns
B.	rows
C.	determinants
D.	transpose
Answer» B. rows

Discussion

2.	In matrices, rows are denoted by
A.	A
B.	B
C.	R
D.	C
Answer» D. C

Discussion

3.	We can subtract two matrices A and B if their
A.	elements are same
B.	order is same
C.	rows are same
D.	columns are same
Answer» C. rows are same

Discussion

4.	A matrix with only 1 column is called
A.	column matrix
B.	row matrix
C.	identical matrix
D.	square matrix
Answer» B. row matrix

Discussion

5.	Generally matrices are denoted by
A.	capital letters
B.	numbers
C.	small letters
D.	operational signs
Answer» B. numbers

Discussion

6.	If A, B and C matrices are of same order and (A + B) + C = A + (B + C), this law is known as
A.	cramers law
B.	distributive law
C.	commutative law
D.	associative law
Answer» E.

Discussion

7.	In matrices (A + B)tequals to
A.	At
B.	Bt
C.	At + Bt
D.	At Bt
Answer» D. At Bt

Discussion

8.	A diagonal matrix having equal elements is called a
A.	square matrix
B.	identical matrix
C.	scalar matrix
D.	rectangular matrix
Answer» D. rectangular matrix

Discussion

9.	If determinant of a matrix is not equal to zero, then it is said to be
A.	non-singular matrix
B.	square matrix
C.	singular matrix
D.	identical matrix
Answer» B. square matrix

Discussion

10.	In matrices (AB)t equals to
A.	B
B.	A
C.	At Bt
D.	Bt At
Answer» E.

Discussion

11.	Law which does not hold in multiplication of matrices is known as
A.	distributive law
B.	Inverse law
C.	associative law
D.	commutative law
Answer» E.

Discussion

12.	Skew symmetric matrix is also called
A.	symmetric
B.	identical matrix
C.	square matrix
D.	anti symmetric
Answer» E.

Discussion

13.	If sum of two matrices A and B is zero matrix, then A and B are said to be
A.	multiplicative inverse of each other
B.	additive inverse of each other
C.	transpose of each other
D.	determinant of each other
Answer» C. transpose of each other

Discussion

14.	Methods to solve a pair of simultaneous linear equations are
A.	3
B.	2
C.	4
D.	5
Answer» C. 4

Discussion

15.	If number of columns and rows are not equal in a matrix, then it is said to be a
A.	rectangular matrix
B.	square matrix
C.	diagonal matrix
D.	null matrix
Answer» B. square matrix

Discussion

16.	We can add two matrices having real numbers A and B if their
A.	order is same
B.	rows are same
C.	columns are same
D.	elements are same
Answer» B. rows are same

Discussion

17.	If determinant of a matrix is equal to zero, then it is said to be
A.	square matrix
B.	singular matrix
C.	non-singular matrix
D.	identical matrix
Answer» C. non-singular matrix

Discussion

18.	If a matrix has equal number of columns and rows then it is said to be a
A.	row matrix
B.	identical matrix
C.	square matrix
D.	rectangular matrix
Answer» D. rectangular matrix

Discussion

19.	A pair of equations to determine value of 2 variables is called
A.	simultaneous linear equations
B.	paired equations
C.	quadratic equations
D.	simple equations
Answer» B. paired equations

Discussion

20.	If A and B matrices are of same order and A + B = B + A, this law is known as
A.	distributive law
B.	commutative law
C.	associative law
D.	cramers law
Answer» C. associative law

Discussion

21.	Equations having a common solution are called
A.	linear equations
B.	homogeneous equations
C.	simultaneous equations
D.	None of Above
Answer» D. None of Above

Discussion

22.	A matrix having m rows and n columns with m = n is said to be a
A.	rectangular matrix
B.	square matrix
C.	identity matrix
D.	scaler matrix
Answer» C. identity matrix

Discussion

23.	Order of a matrix [ 2 5 7 ] is
A.	3 x 3
B.	1 x 1
C.	3 x 1
D.	1 x 3
Answer» E.

Discussion

24.	Two matrices A and B are equal if
A.	both are rectangular
B.	both have same order
C.	no of columns of A is equal to columns of B
D.	both have same order and equal corresponding elements
Answer» E.

Discussion

25.	If A is a skew symmetric matrix, then At
A.	−A
B.	A
C.	0
D.	diagonal matrix
Answer» B. A

Discussion

26.	If AB exists, then ( AB )-1is
A.	A-1 B-1
B.	B-1 A-1
C.	AB
D.	None of Above
Answer» C. AB

Discussion

27.	If \|A\| ≠ 0, then A is
A.	zero matrix
B.	singular matrix
C.	non - singular matrix
D.	diagonal matrix
Answer» D. diagonal matrix

Discussion

28.	Transpose of a square matrix is a
A.	rectangular matrix
B.	diagonal matrix
C.	square matrix
D.	scaler matrix
Answer» C. square matrix

Discussion

29.	If A is a matrix of order m x n and B is a matrix of order n x p then order of AB is
A.	p x m
B.	p x n
C.	n x p
D.	m x p
Answer» E.

Discussion

30.	[ 0 0 0 ] is
A.	Scaler matrix
B.	diagonal matrix
C.	identity matrix
D.	null matrix
Answer» E.

Discussion

31.	Matrices obtained by changing rows and columns is called
A.	rectangular matrix
B.	transpose
C.	symetric
D.	None of Above
Answer» C. symetric

Discussion

32.	Transpose of a row matrix is
A.	zero matrix
B.	diagonal matrix
C.	column matrix
D.	row matrix
Answer» D. row matrix

Discussion

33.	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» C. no of columns of A is equal to columns of B

Discussion

34.	[ a b c ] is a
A.	zero matrix
B.	diagonal matrix
C.	column matrix
D.	row matrix
Answer» E.

Discussion

35.	A matrix having m rows and n columns with m ≠ n is said to be a
A.	rectangular matrix
B.	square matrix
C.	identity matrix
D.	scaler matrix
Answer» B. square matrix

Discussion

36.	For any non- singular matrix A, A-1 =
A.	\|A\|adj A
B.	1 /\|A\|adj A
C.	adj A⁄\|A\|
D.	None of Above
Answer» D. None of Above

Discussion

37.	Two matrices A and B are multiplied to get BA if
A.	both are rectangular
B.	both have same order
C.	no of columns of A is equal to columns of B
D.	both are square matrices
Answer» B. both have same order

Discussion

38.	For a non-trivial solution \| A \| is
A.	\|A\| > 0
B.	\|A\| < 0
C.	\|A\| = 0
D.	\|A\| ≠ 0
Answer» D. \|A\| ≠ 0

Discussion

39.	In a matrix multiplication for A and B, (AB)t
A.	At Bt
B.	Bt At
C.	1/AB
D.	AB
Answer» C. 1/AB

Discussion

40.	Additive inverse of a matrix A is
A.	A
B.	\|A\|
C.	A²
D.	adj A⁄\|A\|
Answer» E.

Discussion

41.	If A is a symmetric matrix, then At =
A.	A
B.	\|A\|
C.	0
D.	diagonal matrix
Answer» B. \|A\|

Discussion

42.	If \|A\| = 0, then A is
A.	zero matrix
B.	singular matrix
C.	non-singular matrix
D.	0
Answer» C. non-singular matrix

Discussion

43.	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» D. no of rows of A is equal to no of columns of B

Discussion

44.	Transpose of a column matrix is
A.	zero matrix
B.	diagonal matrix
C.	column matrix
D.	row matrix
Answer» E.

Discussion

45.	Transpose of a rectangular matrix is a
A.	rectangular matrix
B.	diagonal matrix
C.	square matrix
D.	scaler matrix
Answer» B. diagonal matrix

Discussion

38.	For a non-trivial solution \| A \| is
A.	\|A\| > 0
B.	\|A\| < 0
C.	\|A\| = 0
D.	\|A\| ≠ 0
Answer» D. \|A\| ≠ 0

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