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# NCERT Solutions class 12 Maths Exercise 4.1

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## 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)  =

=  =

### 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.

## NCERT Solutions class 12 Maths Exercise 4.1

NCERT Solutions Class 12 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 12 Maths includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 12 Maths have total 20 chapters. 12 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 12 solutions PDF and Maths ncert class 12 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide

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