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

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

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Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

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