# Matrices and Determinants Questions for DU JAT and IPMAT

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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