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Test: Introduction To Matrices - Commerce MCQ


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12 Questions MCQ Test - Test: Introduction To Matrices

Test: Introduction To Matrices for Commerce 2024 is part of Commerce preparation. The Test: Introduction To Matrices questions and answers have been prepared according to the Commerce exam syllabus.The Test: Introduction To Matrices MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Introduction To Matrices below.
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Test: Introduction To Matrices - Question 1

Which of the following is a matrix of the order 2×2 where the equation of the elements is given by aij=i+j.

Detailed Solution for Test: Introduction To Matrices - Question 1

Test: Introduction To Matrices - Question 2

 

 What is the order of the matrix A = 

Detailed Solution for Test: Introduction To Matrices - Question 2

The number of rows (m) and the number of columns (n) in the given matrix A= 

is 2. Therefore, the order of the matrix is 2×2(m×n).

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Test: Introduction To Matrices - Question 3

If the order of the matrix is m×n, then how many elements will there be in the matrix?

Detailed Solution for Test: Introduction To Matrices - Question 3

The number of elements for a matrix with the order m×n is equal to mn, where m is the number of rows and n is the number of columns in the matrix.

Test: Introduction To Matrices - Question 4


Then the value of x is ____

Detailed Solution for Test: Introduction To Matrices - Question 4


= x+10 = 3x+4
= x = 3

Test: Introduction To Matrices - Question 5

The number of all possible matrices of order 2 × 2 with each entry 0 or 1 is:

Detailed Solution for Test: Introduction To Matrices - Question 5

The number of possible entries of 2 × 2 matrix is 4 Every entry has two choice, 0 or 1.

Thus, the total no. of choices is,

2 × 2 × 2 × 2 = 24

= 16

Test: Introduction To Matrices - Question 6

Let A and B be two non zero square matrics and AB and BA both are defined. It means

Detailed Solution for Test: Introduction To Matrices - Question 6

Given:

 A and B be two non zero square matrics

Calculations:

Matrix AB is defined means Columns is equal to the Rows of B 

and BA is defined means Columns of B is equal to the Rows of A

Hence, Both matrices (A) and (B) have same order is Correct.

Test: Introduction To Matrices - Question 7

is example of:

Detailed Solution for Test: Introduction To Matrices - Question 7

A matrix having non-zero elements only in the diagonal running from the upper left to the lower right.

The given matrix is a diagonal matrix. 

Test: Introduction To Matrices - Question 8

is a matrix of order

Detailed Solution for Test: Introduction To Matrices - Question 8

There are 2 rows and 5 columns in the matrix.
Therefore, order of the matrix: 2 x 5.

Test: Introduction To Matrices - Question 9

What is the element in the 2nd row and 1st column of a 2 x 2 Matrix A = [ aij], such that a = (i + 3) (j – 1)​?

Detailed Solution for Test: Introduction To Matrices - Question 9

Rows are represented by i
Columns are represented by j
... a = (i+3)(j-1)
i = 2 , j = 1    (given)
a21 = (2+3)(1-1) = 0
so, a21 = 0

Test: Introduction To Matrices - Question 10

If A is a matrix of order 3 × 5 and B is a matrix of order 5 × 3, then the order of AB and BA will respectively b

Detailed Solution for Test: Introduction To Matrices - Question 10

Calculation:

Given: A is a matrix of order 3 × 5 and B is a matrix of order 5 × 3

Number of rows in A = 3

Number of column in A = 5

Number of rows in B = 5

Number of column in B = 3

The order of AB = number of row is A × number of columns in B
= 3 × 3
And, 
The order of BA = number of row is B × number of columns in A
= 5 × 5
Hence, option (3) is correct.

Test: Introduction To Matrices - Question 11

Consider the following information regarding the number of men and women workers in three factories I. II and III

What does the entry in the third row and second column represent if the information is represented as a 3 x 2 matrix?​

Detailed Solution for Test: Introduction To Matrices - Question 11

The information is represented in the form of a 3 X 2 matrix as follows:

The entry in the third row and second column represents the number of women workers in factory III.

Test: Introduction To Matrices - Question 12

Which of the following is not a possible ordered pair for a matrix with 6 elements?

Detailed Solution for Test: Introduction To Matrices - Question 12

The possible orders in which the matrix with 6 elements can be formed are 2×3, 3×2, 1×6, 6×1.

Therefore, the possible orders pairs are (2,3), (3,2), (1,6), (6,1).

Thus, (3,1) is not possible.

Therefore, the correct answer is D.

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