# Important Matrices and Determinants Questions with Solution for DU JAT and IPMAT Maths Preparation

Author : Palak Khanna

Updated On : August 7, 2023

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Matrices and determinants topic is a part of mathematics that deals with linear equations. A matrix is a group of numbers used to express linear equations, while a determinant is a unique number related to that matrix.

Also, you can perform mathematical operations on matrices such as addition, subtraction, and multiplication. You can expect 4-5 questions based on this topic in competitive exams like DU JAT and IPMAT.

This post shall guide you through the important Matrices and Dertimants Questions for DU JAT and IPMAT.

## Matrices and Determinants Question and Answers for DU JAT and IPMAT

Most of you might face difficulties while solving these questions. However, learning a few simple techniques would help you solve these questions in a matter of seconds.

We have provided a few samples here to help you understand the Questions asked in IPMAT and DU JAT from matrices and determinants topics.

Question 1 Before start answering this question, represent the determinant in the following way. Remove a,b,c from both the matrices. Then remove common values such as a,b,c and 1 from the above matrices. Then, it becomes Equate (abc-1) value = 1

abc = 1

Question 2   To solve this question, you must know the following formulas: Remove 2 from the expression, then it becomes As per the given question, Determinant of A = 5

Determinant of B = 3

Determinant of C = 1/2

=16X5X1/-3X1/8X-3 = = 10

Question 3 In this question, you need to find the value of the following expression Determinant of A power 2 = 4

Determinant of B = 3

Determinant of C inverse = 1/5

Therefore, the expression becomes as follows = 5 X 4 X 3X 1

The final value = 60  Question 4 Let us consider the 3X3 matrix as given below The value of its determinant becomes = - 2 + 0 - 2

= -4

Therefore the determinant of - 4 = 4

Question 5 You must know that any matrix multiplied with its inverse matrix becomes an Identity Matrix.  For Example: Apply the same formula for the given expression. Then it becomes as follows: -1+2x=0

2x=1

x=1/2

x=0.5