Test: Introduction To Matrices


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


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QUESTION: 1


Then the value of x is ____

Solution:

QUESTION: 2

 is a matrix of order

Solution:

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

QUESTION: 3

For what real value of y will matrix A be equal to matrix B, where

Solution:

⇒ y2 - 4y = -3

⇒ y2 - 4y + 3 = 0

⇒ y2 -3y - y +3 = 0

⇒ y (y - 3) -1 (y-3) = 0

⇒(y - 1) (y - 3) = 0

⇒ y = 1,3

But these are not real numbers.

We have another equation:

⇒ 5y = 6y2 + 1

⇒ 6y2 -5y +1 = 0

⇒ 6y2 -3y - 2y + 1 = 0

⇒ 3y (2y - 1) - 1 (2y - 1) = 0

⇒ (3y - 1) (2y - 1) = 0

⇒ y = 1/2, 1/3

Hence value of y is 1/2, 1/3

QUESTION: 4

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

Solution:

The number of elements in a 2 x 2 matrix is the product 2 x 2 =4

Each element can either be a 0,1 or 2.

Given this, the total possible matrices that can be selected is 34

32x2= 34= 81

QUESTION: 5

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

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

Solution:

QUESTION: 6

is example of

Solution:

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. 

QUESTION: 7

is a matrix of order

Solution:

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

QUESTION: 8

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)​

Solution:

QUESTION: 9

the value of a22 is​

Solution:

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 

QUESTION: 10

To construct a 2 x 3 matrix [ aij], such that aij = – 

The values that i and j can take are …….

Solution:

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