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Introduction to Matrices and its Operations (May 3) - JEE MCQ


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10 Questions MCQ Test Daily Test for JEE Preparation - Introduction to Matrices and its Operations (May 3)

Introduction to Matrices and its Operations (May 3) for JEE 2024 is part of Daily Test for JEE Preparation preparation. The Introduction to Matrices and its Operations (May 3) questions and answers have been prepared according to the JEE exam syllabus.The Introduction to Matrices and its Operations (May 3) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Introduction to Matrices and its Operations (May 3) below.
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Introduction to Matrices and its Operations (May 3) - Question 1
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Which of the following is a matrix of the order 2×2 where the equation of the elements is given by aij=i+j.

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Introduction to Matrices and its Operations (May 3) - Question 2
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 What is the order of the matrix A = 

Detailed Solution for Introduction to Matrices and its Operations (May 3) - 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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Introduction to Matrices and its Operations (May 3) - Question 3
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If the order of the matrix is m×n, then how many elements will there be in the matrix?

Detailed Solution for Introduction to Matrices and its Operations (May 3) - 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.

Introduction to Matrices and its Operations (May 3) - Question 4
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Then the value of x is ____
Detailed Solution for Introduction to Matrices and its Operations (May 3) - Question 4


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

Introduction to Matrices and its Operations (May 3) - Question 5
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The number of all possible matrices of order 2 × 2 with each entry 0 or 1 is:
Detailed Solution for Introduction to Matrices and its Operations (May 3) - 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

Introduction to Matrices and its Operations (May 3) - Question 6
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The product of two matrics 
Detailed Solution for Introduction to Matrices and its Operations (May 3) - Question 6

{(1*0, 2*2, 0*x) (2*0, 0*2, 1*x) (1*0, 0*2, 2*x)}
= {4, x, 2x} 

Introduction to Matrices and its Operations (May 3) - Question 7
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If A, B are, respectively m × n, k × l matrices, then both AB and BA are defined if and only if​
Detailed Solution for Introduction to Matrices and its Operations (May 3) - Question 7

If A, B are, respectively m × n, k × l matrices, then both AB and BA are defined if and only if n = k and l = m. In particular, if both A and B are square matrices of the same order, then both AB and BA are defined.

Introduction to Matrices and its Operations (May 3) - Question 8
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and 2A + B + X = 0, then the matrix X = ……
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Introduction to Matrices and its Operations (May 3) - Question 9
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If  then -5A = ?
Introduction to Matrices and its Operations (May 3) - Question 10
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If   and  , then AXB=?
Detailed Solution for Introduction to Matrices and its Operations (May 3) - Question 10

A = [2, 3, 4]  
Therefore AXB = {(2*1) + (3*(-1)) + (4*2)}
AXB = {2 + (-3) + 8}
AXB = 7

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