NCERT Solutions class 12 Maths Exercise 3.4

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NCERT Solutions class 12 Maths Exercise 3.4 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 Matrices as PDF.

NCERT Solutions class 12 Maths Exercise 3.4

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.

NCERT Solutions class 12 Maths Exercise 3.4

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 13 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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10 thoughts on “NCERT Solutions class 12 Maths Exercise 3.4”

  1. There are some mistakes in the solution please make it correct it creates lot of confusion.

    ex 3.4 question no. 16 is wrong.

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