34 + Mcqs in Matrices and their Applications Page 1 McqOptions

1.	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

2.	Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C?
A.	Identity matrix
B.	Inverse of A
C.	Square of A
D.	Transpose of A
Answer» C. Square of A

Discussion

3.	What is the disadvantage of matrices?
A.	Internal complexity
B.	Searching through a matrix is complex
C.	Not space efficient
D.	All of the mentioned
Answer» E.

Discussion

4.	Which of the following are the uses of matrices?
A.	In solving linear equations
B.	Image processing
C.	Graph theory
D.	All of the mentioned
Answer» E.

Discussion

5.	If column-major order is used, how is the following matrix stored in memory? a b c d e f g h i
A.	ihgfedcba
B.	abcdefghi
C.	cfibehadg
D.	adgbehcfi
Answer» E.

Discussion

6.	If row-major order is used, how is the following matrix stored in memory? a b c d e f g h i
A.	ihgfedcba
B.	abcdefghi
C.	cfibehadg
D.	adgbehcfi
Answer» C. cfibehadg

Discussion

7.	What does the following piece of code do? for(int i = 0; i < row; i++) {       for(int j = 0; j < column; j++)     {         if(i == j)             sum = sum + (array[i][j]);     } } System.out.println(sum);
A.	Normal of a matrix
B.	Trace of a matrix
C.	Square of a matrix
D.	Transpose of a matrix
Answer» C. Square of a matrix

Discussion

8.	Select the code snippet which performs matrix multiplication.(a and b are the two given matrices, resultant marix is c)
A.	for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { c[i][j] = c[i][j] + a[i][k] * b[k][j]; } } }
B.	for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { c[i][j] = c[i][j] * a[i][k] * b[k][j]; } } }
C.	for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { c[i][j] = c[i][j] + a[i][k] + b[k][j]; } } }
D.	None of the mentioned
Answer» B. for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { c[i][j] = c[i][j] * a[i][k] * b[k][j]; } } }

Discussion

9.	How do you allocate a matrix using a single pointer in C?(r and c are the number of rows and columns respectively)
A.	int arr = malloc(r c * sizeof(int));
B.	int arr = (int )malloc(r * c * sizeof(int));
C.	int arr = (int )malloc(r + c * sizeof(int));
D.	int arr = (int )malloc(r * c * sizeof(arr));
Answer» C. int arr = (int )malloc(r + c * sizeof(int));

Discussion

10.	Which of the following property does not hold for matrix multiplication?
A.	Associative
B.	Distributive
C.	Commutative
D.	None of the mentioned
Answer» D. None of the mentioned

Discussion

11.	What is the order of a matrix?
A.	number of rows X number of columns
B.	number of columns X number of rows
C.	number of rows X number of rows
D.	number of columns X number of columns
Answer» B. number of columns X number of rows

Discussion

12.	Which of the following property of matrix multiplication is correct:
A.	Multiplication is not commutative in genral
B.	Multiplication is associative
C.	Multiplication is distributive over addition
D.	All of the mentioned
Answer» E.

Discussion

13.	Let A be a nilpotent matrix of order n then
A.	An = O
B.	nA = O
C.	A = nI, I is Identity matrix
D.	None of the mentioned
Answer» B. nA = O

Discussion

14.	State whether the given statement is True or False. If for a square matrix A and B,null matrix O, AB =O implies A=O and B=O.
A.	True
B.	False
Answer» C.

Discussion

15.	State True or False: If for a square matrix A and B,null matrix O, AB =O implies BA=O:
A.	True
B.	False
Answer» C.

Discussion

16.	State True or False:
A.	True
B.	False
Answer» B. False

Discussion

17.	Let A = [kaij ]nxn, B = [aij ]nxn, be an nxn matrices and k be a scalar then det(A) is equal to:
A.	Kdet(B)
B.	Kndet(B)
C.	K3det(b)
D.	None of the mentioned
Answer» C. K3det(b)

Discussion

18.	For a skew symmetric odd ordered matrix A of integers, which of the following will hold true:
A.	det(A) = 9
B.	det(A) = 81
C.	det(A) = 0
D.	det(A) = 4
Answer» D. det(A) = 4

Discussion

19.	For a skew symmetric even ordered matrix A of integers, which of the following will not hold true
A.	det(A) = 9
B.	det(A) = 81
C.	det(A) = 7
D.	det(A) = 4
Answer» D. det(A) = 4

Discussion

20.	If determinant of a matrix A is Zero than:
A.	A is a Singular matrix
B.	A is a non-Singular matrix
C.	Can’t say
D.	None of the mentioned
Answer» B. A is a non-Singular matrix

Discussion

21.	The determinant of identity matrix is :
A.	1
B.	0
C.	Depends on the matrix
D.	None of the mentioned
Answer» B. 0

Discussion

22.	If a matrix has m rows and n columns then order is
A.	m + n
B.	n x n
C.	m x m
D.	m x n
Answer» E.

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

Discussion

29.	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

30.	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

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

Discussion

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

Discussion

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

Discussion

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

Discussion

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What is the order of a matrix?

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Let A be a nilpotent matrix of order n then

State whether the given statement is True or False. If for a square matrix A and B,null matrix O, AB =O implies A=O and B=O.

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Let A = [kaij ]nxn, B = [aij ]nxn, be an nxn matrices and k be a scalar then det(A) is equal to:

For a skew symmetric odd ordered matrix A of integers, which of the following will hold true:

For a skew symmetric even ordered matrix A of integers, which of the following will not hold true

If determinant of a matrix A is Zero than:

The determinant of identity matrix is :

If a matrix has m rows and n columns then order is

Order of a matrix [ 2 5 7 ] is

Two matrices A and B are equal if

If A is a skew symmetric matrix, then At

If AB exists, then ( AB )-1is

If |A| ≠ 0, then A is

[ a b c ] is a

A matrix having m rows and n columns with m ≠ n is said to be a

For any non- singular matrix A, A-1 =

In a matrix multiplication for A and B, (AB)t

If A is a symmetric matrix, then At =

If |A| = 0, then A is

Transpose of a rectangular matrix is a

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Select&nbsp;the&nbsp;code&nbsp;snippet&nbsp;which&nbsp;performs&nbsp;matrix&nbsp;multiplication.(a&nbsp;and&nbsp;b&nbsp;are&nbsp;the&nbsp;two&nbsp;given&nbsp;matrices,&nbsp;resultant&nbsp;marix&nbsp;is&nbsp;c)

How&nbsp;do&nbsp;you&nbsp;allocate&nbsp;a&nbsp;matrix&nbsp;using&nbsp;a&nbsp;single&nbsp;pointer&nbsp;in&nbsp;C?(r&nbsp;and&nbsp;c&nbsp;are&nbsp;the&nbsp;number&nbsp;of&nbsp;rows&nbsp;and&nbsp;columns&nbsp;respectively)

Which&nbsp;of&nbsp;the&nbsp;following&nbsp;property&nbsp;does&nbsp;not&nbsp;hold&nbsp;for&nbsp;matrix&nbsp;multiplication?

What&nbsp;is&nbsp;the&nbsp;order&nbsp;of&nbsp;a&nbsp;matrix?

Which&nbsp;of&nbsp;the&nbsp;following&nbsp;property&nbsp;of&nbsp;matrix&nbsp;multiplication&nbsp;is&nbsp;correct:

Let&nbsp;A&nbsp;be&nbsp;a&nbsp;nilpotent&nbsp;matrix&nbsp;of&nbsp;order&nbsp;n&nbsp;then

State&nbsp;whether&nbsp;the&nbsp;given&nbsp;statement&nbsp;is&nbsp;True&nbsp;or&nbsp;False. If&nbsp;for&nbsp;a&nbsp;square&nbsp;matrix&nbsp;A&nbsp;and&nbsp;B,null&nbsp;matrix&nbsp;O,&nbsp;AB&nbsp;=O&nbsp;implies&nbsp;A=O&nbsp;and&nbsp;B=O.

State&nbsp;True&nbsp;or&nbsp;False: If&nbsp;for&nbsp;a&nbsp;square&nbsp;matrix&nbsp;A&nbsp;and&nbsp;B,null&nbsp;matrix&nbsp;O,&nbsp;AB&nbsp;=O&nbsp;implies&nbsp;BA=O:

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&nbsp;For&nbsp;a&nbsp;skew&nbsp;symmetric&nbsp;even&nbsp;ordered&nbsp;matrix&nbsp;A&nbsp;of&nbsp;integers,&nbsp;which&nbsp;of&nbsp;the&nbsp;following&nbsp;will&nbsp;not&nbsp;hold&nbsp;true

If&nbsp;determinant&nbsp;of&nbsp;a&nbsp;matrix&nbsp;A&nbsp;is&nbsp;Zero&nbsp;than:

&nbsp;The&nbsp;determinant&nbsp;of&nbsp;identity&nbsp;matrix&nbsp;is&nbsp;:

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&nbsp;Two&nbsp;matrices&nbsp;A&nbsp;and&nbsp;B&nbsp;are&nbsp;equal&nbsp;if

If&nbsp;A&nbsp;is&nbsp;a&nbsp;skew&nbsp;symmetric&nbsp;matrix,&nbsp;then&nbsp;At

&nbsp;If&nbsp;AB&nbsp;exists,&nbsp;then&nbsp;(&nbsp;AB&nbsp;)-1is

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&nbsp;Transpose&nbsp;of&nbsp;a&nbsp;rectangular&nbsp;matrix&nbsp;is&nbsp;a

If a matrix has equal number of columns and rows then it is said to be a

Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C?

What is the disadvantage of matrices?

Which of the following are the uses of matrices?

If column-major order is used, how is the following matrix stored in memory? a b c d e f g h i

If row-major order is used, how is the following matrix stored in memory? a b c d e f g h i

Select the code snippet which performs matrix multiplication.(a and b are the two given matrices, resultant marix is c)

How do you allocate a matrix using a single pointer in C?(r and c are the number of rows and columns respectively)

Which of the following property does not hold for matrix multiplication?

What is the order of a matrix?

Which of the following property of matrix multiplication is correct:

Let A be a nilpotent matrix of order n then

State whether the given statement is True or False. If for a square matrix A and B,null matrix O, AB =O implies A=O and B=O.

State True or False: If for a square matrix A and B,null matrix O, AB =O implies BA=O:

State True or False:

Let A = [kaij ]nxn, B = [aij ]nxn, be an nxn matrices and k be a scalar then det(A) is equal to:

For a skew symmetric odd ordered matrix A of integers, which of the following will hold true:

For a skew symmetric even ordered matrix A of integers, which of the following will not hold true

If determinant of a matrix A is Zero than:

The determinant of identity matrix is :

If a matrix has m rows and n columns then order is

Order of a matrix [ 2 5 7 ] is

Two matrices A and B are equal if

If A is a skew symmetric matrix, then At

If AB exists, then ( AB )-1is

If |A| ≠ 0, then A is

[ a b c ] is a

A matrix having m rows and n columns with m ≠ n is said to be a

For any non- singular matrix A, A-1 =

In a matrix multiplication for A and B, (AB)t

If A is a symmetric matrix, then At =

If |A| = 0, then A is

Transpose of a rectangular matrix is a