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Test: Introduction To Matrices


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10 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Introduction To Matrices

Test: Introduction To Matrices for JEE 2023 is part of Mathematics (Maths) Class 12 preparation. The Test: Introduction To Matrices questions and answers have been prepared according to the JEE exam syllabus.The Test: Introduction To Matrices MCQs are made for JEE 2023 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


Then the value of x is ____

Detailed Solution for Test: Introduction To Matrices - Question 1


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

Test: Introduction To Matrices - Question 2

 is a matrix of order

Detailed Solution for Test: Introduction To Matrices - Question 2

Since, there are 2 rows and 2 columns in the matrix, order of the matrix is 2*2.

Test: Introduction To Matrices - Question 3

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

Detailed Solution for Test: Introduction To Matrices - Question 3

In a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the four spaces.

Thus the total number of such matrices will be 2×2×2×2  = 2⁴ matrices.

Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.

Test: Introduction To Matrices - Question 4

is example of:

Detailed Solution for Test: Introduction To Matrices - Question 4

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 5

is a matrix of order

Detailed Solution for Test: Introduction To Matrices - Question 5

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

Test: Introduction To Matrices - Question 6

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 6

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 7

the value of a22 is​

Detailed Solution for Test: Introduction To Matrices - Question 7

aij = 1/2 |i-3j|
As aij = a22 ie i = 2 and j = 2
By substituting the values in the equation, we get
a22 = 1/2 |2-3(2)| = 1/2 |-4| = 2 

Test: Introduction To Matrices - Question 8

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 8

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 9

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

Detailed Solution for Test: Introduction To Matrices - Question 9

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.

Test: Introduction To Matrices - Question 10

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 10

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.

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