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RD Sharma Solutions are found to be a popular choice among students and teachers for the various benefits it offers. RD Sharma Solutions have been making NCERT Solutions for years now and have gained much popularity for their books. The RD Sharma Class 12th Exercise VSA is one of their NCERT Solution sets that has garnered the praise of several students who have appeared for the mathematics paper.

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**Also Read - **RD Sharma Solution for Class 9 to 12 Maths

- Chapter 5 - Determinants Ex 5.1
- Chapter 5 - Determinants Ex 5.2
- Chapter 5 - Determinants Ex 5.3
- Chapter 5 - Determinants Ex 5.4
- Chapter 5 - Determinants Ex 5.5
- Chapter 5 - Determinants Ex FBQ
- Chapter 5 - Determinants Ex MCQ

Determinants Exercise Very short question Question 1

Any matrix becomes singular if it's determinate is zero

So,

Determinants Exercise Very short question Question 2

Let this matrix is singular So,

it's determinant should be zero

So now,

So,

Determinants Exercise Very short question Question 10

Answer:Hint: Here we use basic concept of determinant of matrix

Given:

Solution:

let's perform some column operations

let's take common from column

Determinants Exercise Very short Answers Question 16

Answer:135Hint: Here we use basic concept of determinant of matrix such that

Given :

Solution :

So,

As,

Here, we have to find

So,

Determinants Exercise Very short Answers Question 19

Answer:0Hint: Here we use basic concept of determinant of matrix

Given:

Solution :

and cofactor

So, here

So

Determinants Exercise Very short Answers Question 20

Answer : 1Hint: Here we use basic concept of determinant of matrix

Given:

Solution :

So let's find determinate

using the formula

So,

Determinants Exercise Very Short Answer Question 23

Answer:0Hint: Here we use basic concept of determinant of matrix

Given: A is skew –symmetric matrix

Solution:

So,

Here all diagonal entries are zero

So, we know that it’s determinant zero

Determinants Exercise Very Short Answer Question 24

Answer:-4Hint: Here we use basic concept of determinant of matrix

Given:

So,

and

Solution :

for what we use below formula

when k is constant

n is order of matrix

In is constant

So,

Determinants Exercise VSQ Question 26

Answer: 0Hint: Here we use basic concept of determinant of matrix

Given:

Solution :

Using the property that if the equimultiples of corresponding elements of other rows are added to every element of any row of determinant then the value of determinant remains the same.

Using row transformation

We get,

Here 1st whole column is zero

So

Determinants Exercise VSQ Question 27

Answer: 0Hint: Here we use basic concept of determinant of matrix

Given:

Solution :

Using column operation,

We get,

Here 1st and 2nd column are similar

According to determinant if two or more columns are similar

It's determinant must be zero

So

Determinants Exercise VSQ Question 28

Answer: -4Hint: Here we use basic concept of determinant and singular matrix

Given: is similar

Solution :

If matrix is singular then it's determinant always zero

So,

Determinants Exercise VSQ Question 31

Answer: non-singular

Hint: Here we use basic concept of determinant of matrix

Given: Here A and B non singular matrix

So,

Solution : So now in

then multiplication of 2 non zero numbers, answer always be non zero

is non singular

RD Sharma Class 12 Chapter 5 Exercise VSA is a crucial section in the NCERT book because it covers questions from the entire fifth chapter of the mathematics book. Chapter 5 of the book deals with Inverse Determinants, a critical Chapter that works with linear equations. RD Sharma Class 12th Exercise VSA has 58 questions that require short answers. RD Sharma Class 12th Exercise VSA will have questions from concepts like the area of triangles, adjoint, and inverse of a matrix, applications of Determinants, and matrices.

The RD Sharma Class 12 Solutions Chapter 5 Ex VSA will answer all the questions present in the NCERT books. The Class 12 RD Sharma Chapter 5 Exercise VSA has Expert-created Solutions compiled by highly skilled individuals with a lot of knowledge in mathematics. Their new and improved ways of solving mathematical problems would help you to answer questions. These unique methods are not always taught in Class by school teachers or even tuition teachers.

By using RD Sharma Class 12th Exercise VSA, students will be able to improve their knowledge of Determinants through self-practice. The Solutions will help confirm their answers and enable them to focus on their weak points. Students can use the questions in the book to practice at home and test their knowledge before appearing for their school and board Exams. They might end up finding common questions from these Exercises as well.

The RD Sharma Class 12th Exercise VSA Solution is also trusted and used by teachers to give homework to their students. Students who face difficulty in completing their school homework can use these books for some help and guidance. The pdf of RD Sharma Class 12 Solutions Chapter 5 Ex VSA is updated frequently to include the latest syllabus, so students are never left wanting more.

RD Sharma Class 12 Solutions Determinants Ex VSA pdf can be found online on Career360, the one-stop destination for RD Sharma Solutions. The pdfs can be downloaded any time and are completely free of cost. Therefore, you will not need to buy Extra study materials with loads of money

**Chapter-wise RD Sharma Class 12 Solutions**

- Chapter 1 - Relations
- Chapter 2 - Functions
- Chapter 3 - Inverse Trigonometric Functions
- Chapter 4 - Algebra of Matrices
- Chapter 5 - Determinants
- Chapter 6 - Adjoint and Inverse of a Matrix
- Chapter 7 - Solution of Simultaneous Linear Equations
- Chapter 8 - Continuity
- Chapter 9 - Differentiability
- Chapter 10 - Differentiation
- Chapter 11 - Higher Order Derivatives
- Chapter 12 - Derivative as a Rate Measurer
- Chapter 13 - Differentials, Errors and Approximations
- Chapter 14 - Mean Value Theorems
- Chapter 15 - Tangents and Normals
- Chapter 16 - Increasing and Decreasing Functions
- Chapter 17 - Maxima and Minima
- Chapter 18 - Indefinite Integrals
- Chapter 19 - Definite Integrals
- Chapter 20 - Areas of Bounded Regions
- Chapter 21 - Differential Equations
- Chapter 22 - Algebra of Vectors
- Chapter 23 - Scalar Or Dot Product
- Chapter 24 - Vector or Cross Product
- Chapter 25 - Scalar Triple Product
- Chapter 26 - Direction Cosines and Direction Ratios
- Chapter 27 - Straight Line in Space
- Chapter 28 - The Plane
- Chapter 29 - Linear programming
- Chapter 30- Probability
- Chapter 31 - Mean and Variance of a Random Variable

1. How can I use RD Sharma Class 12 Chapter 5 Exercise VSA?

You can try to answer the questions in the NCERT book and compare answers with the RD Sharma Class 12 Chapter 5 Exercise VSA pdf to see if you have answered correct

2. Which site is best to download Class 12 RD Sharma Chapter 5 Exercise VSA Solution

You can download the RD Sharma Class 12th Exercise MCQ Solution from the Career360 website, which offers the pdf for free

3. Can I use RD Sharma Class 12 Solutions Chapter 5 Ex VSA for Exam preparations?

Students can use the RD Sharma Class 12 Solutions Chapter 5 Ex VSA for Exam preparations since the VSA part covers short answers from all Chapter sections.

4. Which NCERT Solution is best for board preparations

The RD Sharma Solution is definitely the top choice of all students when it comes to NCERT Solutions

5. Do I need to buy the RD Sharma Class 12 Chapter 5 Exercise VSA pdf?

You won't be required to buy the RD Sharma Class 12 Chapter 5 Exercise VSA at all. Instead, you will be able to download the free copy of the book at the Career360 website.

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