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# Solutions 4. Determinants - Exercise 4.1 | Class 12 Mathematics-I - Toppers Study

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## Solutions 4. Determinants - Exercise 4.1 | Class 12 Mathematics-I - Toppers Study

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### You can Find Mathematics-I solution Class 12 Chapter 4. Determinants

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Chapter 4 Mathematics-I class 12

### Exercise 4.1 class 12 Mathematics-I Chapter 4. Determinants

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## 4. Determinants

### | Exercise 4.1 |

## Solutions 4. Determinants - Exercise 4.1 | Class 12 Mathematics-I - Toppers Study

**Exercise 4.1**

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

**Ques.1. **

**Ans. ** = = = 18

**Ques.2. (i) **

**(ii) **

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

**(ii)** =

= =

**Ques.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.

**Ques.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.

**Ques.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

**Ques.6. If A = find **

**Ans. **Given: A =

=

Expanding along first row,

=

=

=

= = 0

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

**(i) **

**(ii) **

**Ans. (i) **Given:

**(ii) **

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

**(A)** 6

**(B) **

**(C) **

**(D)** 0

**Ans. **Given:

hance, option (B) is correct.

##### Other Pages of this Chapter: 4. Determinants

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