## NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1 (Ex 4.1)

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 4 Exercise 4.1 (Ex 4.1) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 12 Maths Chapter 4 Determinants Exercise 4.1 Questions with Solutions to help you to revise complete Syllabus and Score More marks.

## NCERT Solutions class 12 Maths Determinants

**Evaluate the following determinants in Exercise 1 and 2.**

**1. **

**Ans. ** = = = 18

**2. (i) **

**(ii) **

**Ans. (i)** = = = 1

**(ii)** =

= =

### NCERT Solutions class 12 Maths Exercise 4.1

**3. If A = then show that **

**Ans. **Given: A = then 2A =

=

L.H.S. = =

R.H.S. =

= =

Since L.H.S. = R.H.S.

Hence, proved.

NCERT Solutions class 12 Maths Exercise 4.1

**4. If A = then show that **

**Ans. **Given: A = then 3A = =

L.H.S. =

= = 3 x 36 = 108

R.H.S. =

= 27 [1 (4 – 0)] = 27 x 4 = 108

Since L.H.S. = R.H.S.

Hence, proved.

**5. Evaluate the determinants:**

**(i) **

**(ii) **

**(iii) **

**(iv) **

**Ans. **Evaluate the determinants:

**(i) **Given:

Expanding along first row,

=

= =

**(ii)** Given:

Expanding along first row,

=

=

= 21 + 20 + 5 = 46

**(iii) **Given:

Expanding along first row,

=

= 0 + 6 – 6 = 0

**(iv)** Given:

Expanding along first row,

=

= = 5

**6. If A = find **

**Ans. **Given: A =

=

Expanding along first row,

=

=

=

= = 0

**7. Find the value of if:**

**(i) **

**(ii) **

**Ans. (i) **Given:

**(ii) **

**8. If then is equal to:**

**(A) 6**

**(B) **

**(C) **

**(D) 0**

**Ans. **Given:

Therefore, option (B) is correct.

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