NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3: NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3, comprises solutions of questions of Exercise 4.3. Subject experts have designed these NCERT Solutions for Class 12 Maths easily and simply.
NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3
NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3 pdf
Download NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3 PDF:
NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3
The NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3 is giving an introduction to the term matrix and matrices so that you can understand the Determinants easily. It states that for every square matrix, you can assign a real number, known as a Determinant.
Determinant of matrices order 1:
If A = [a], matrix of order 1, Determinant of A is said to be equivalent of a.
Determinant of matrices order 2 x 2:
In the case of Determinant of matrices order 2, Determinant is obtained by multiplying the matrices.
Determinant of matrices order 3 x 3:
In the case of Determinant of matrices order 3 x 3, Determinant is obtained through a series of steps, explained in a detailed manner in the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3.
Here are some of the properties of the determinants, which you can also find in detail in the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3.
- Property 1: The value of the determinant will remain unchanged when two rows or two columns are interchanged.
- Property 2: The value of the determinant will change the concerning sign whenever two rows or two columns are interchanged.
- Property 3: The value of the determinant will remain zero when two rows or two columns are the same.
- Property 4: If each element in a matrix is multiplied by a constant, ‘k’, the value of the determinant will be multiplied by k, as well.
- Property 5: If the sum of two terms is expressing elements, the value of the determinant will be expressed by the sum.
Area of a triangle:
You have studied this in earlier classes that the area of a triangle is equal to half into base into height. But here the area of a triangle is expressed like half of the value of matrix of order 3 x 3.
Some of the questions in exercise 4.3 are based on this concept and that’s why NCERT Solutions Class 12 Maths Chapter 4 has solved these questions in a detailed way.
Why study from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.2?
You might think if studying from NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.1 worth it? The answer is yes, and to support the claim, here are some good reasons.
- High-quality content with reliable and accurate solutions.
- Subject matter experts have designed the solutions.
- All the answered are solved with steps and proper explanation, for your better understanding of concepts.
- The PDF form of the solutions is available which is easy to download and free of cost.
Access Other Exercise NCERT Solutions of Class 12 Maths Determinants
You can download the PDF of NCERT Solutions CBSE Class 12 Maths for Chapter 4 other exercise:
- Exercise 4.1
- Exercise 4.2
- Exercise 4.4
- Exercise 4.5
All the best to the students appearing for the Class 12th board exam. Here is the detailed blog of NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3. For further queries regarding the Class 12th exam, you can ask in the comment box.
FAQs on the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3
State the Determinant of matrices order 1.
Determinant of matrices order 1:
If A = [a], matrix of order 1, Determinant of A is said to be equivalent of a.
State the Determinant of matrices order 3 x 3.
In the case of Determinant of matrices order 3 x 3, Determinant is obtained through a series of steps.
When does the value of the determinant will change the concerning sign?
The value of the determinant will change the concerning sign whenever two rows or two columns are interchanged.
What happens if each element in a matrix is multiplied by a constant, ‘k’?
If each element in a matrix is multiplied by a constant, ‘k’, the value of the determinant will be multiplied by k, as well.
When does the value of the determinant will remain unchanged?
The value of the determinant will remain unchanged when two rows or two columns are interchanged.
From where can I download the NCERT Solutions Class 12 Maths Chapter 4 Exercise 4.3 Free PDF?
You can download it from Kopykitab.