NCERT Solutions class 12 Maths Exercise 4.1

NCERT Solutions class 12 Maths Exercise 4.1 Class 12 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 12 Maths chapter wise NCERT solution for Maths part 1 and Maths part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

Download NCERT solutions for Determinants  as PDF

NCERT Solutions class 12 Maths Determinants

Evaluate the following determinants in Exercise 1 and 2.

1.  

Ans.   =  =  = 18

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2. (i)

(ii)  

Ans. (i)  =  =  = 1

(ii)  =

=  =

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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.

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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.

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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

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6. If A =  find  

Ans. Given:     A =

  =

Expanding along first row,  

=

=

=

=  = 0

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7. Find the value of  if:

(i)

(ii)

Ans. (i) Given:

 

 

 

 

 

 

(ii)

 

 

 

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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

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