## NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 (Ex 3.4)

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 (Ex 3.4) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 12 Maths Chapter 3 Matrices Exercise 3.4 Questions with Solutions to help you to revise complete Syllabus and Score More marks.

## NCERT Solutions class 12 Maths Matrices** **

**Using elementary transformation, find the inverse of each of the matrices, if it exists in Exercises 1 to 6.**

**1. **

**Ans. **Let A =

Since A = IA

=

**2. **

**Ans. **Let A =

Since A = IA

=

**3. **** **

**Ans. **Let A =

Since A = IA

=

**4. **** **

**Ans. **Let A =

Since A = IA

=

**5. **** **

**Ans. **Let A =

Since A = IA

=

**6. **** **

**Ans. **Let A =

Since A = IA

=

#### NCERT Solutions class 12 Maths Exercise 3.4

**Using elementary transformation, find the inverse of each of the matrices, if it exists in Exercises 7 to 14.**

**7. **

**Ans. **Let A =

Since A = IA

=

**8. **** **

**Ans. **Let A =

Since A = IA

=

**9. **** **

**Ans. **Let A =

Since A = IA

=

**10. **** **

**Ans. **Let A =

Since A = IA

=

**11. **** **

**Ans. **Let A =

Since A = IA

=

**12. **** **

**Ans. **Let A =

Since A = IA

Here, all entries in second row of left side are zero.

does not exist.

**13. **

**Ans. **Let A =

Since A = IA

=

**14. **** **

**Ans. **Let A =

Since A = IA

Here, all entries in second row of left side are zero.

does not exist.

#### NCERT Solutions class 12 Maths Exercise 3.4

**Using elementary transformation, find the inverse of each of the matrices, if it exists in Exercises 7 to 14.**

**15. **** **

**Ans. **Let A = , We know that A = IA,

**16. **** **

**Ans. **Let A = , Since, A = IA

=

**17. **** **

**Ans. **Let A = , Since, A = IA

=

#### NCERT Solutions class 12 Maths Exercise 3.4

**18. Matrices A and B will be inverse of each other only if:**

**(A) AB = BA **

**(B) AB = BA = 0 **

**(C) AB = 0, BA = I **

**(D) AB = BA = I**

**Ans. **By definition of inverse of square matrix,

Option (A) is correct.

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