NCERT Solutions, Matrices, Part -4, Class 12, Maths Notes - Class 12

Class 12: NCERT Solutions, Matrices, Part -4, Class 12, Maths Notes - Class 12

The document NCERT Solutions, Matrices, Part -4, Class 12, Maths Notes - Class 12 is a part of Class 12 category.
All you need of Class 12 at this link: Class 12

Matrices


Exercise 3.4
Question 1: 
Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)

 

Question 2: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)


Question 3: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer
matrices,Question and Answer (Q & A)

 


Question 4: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)

 


Question 5: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)

Question 6: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)
matrices,Question and Answer (Q & A)


Question 7: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)
matrices,Question and Answer (Q & A)

 


Question 8: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Question 9: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer
matrices,Question and Answer (Q & A)

 


Question 10: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)

matrices,Question and Answer (Q & A)

 


Question 11: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)

matrices,Question and Answer (Q & A)

 


Question 12: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)
Now, in the above equation, we can see all the zeros in the second row of the matrix on
the L.H.S.
Therefore, A−1 does not exist.

 

Question 13: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)
 

Answer
matrices,Question and Answer (Q & A)

 

Question 14: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer
matrices,Question and Answer (Q & A)
Now, in the above equation, we can see all the zeros in the first row of the matrix on the
L.H.S.
Therefore, A−1 does not exist.

 

Question 16: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)


Answer

matrices,Question and Answer (Q & A)

matrices,Question and Answer (Q & A)


Question 17: Find the inverse of each of the matrices, if it exists.

matrices,Question and Answer (Q & A)

Answer
matrices,Question and Answer (Q & A)

matrices,Question and Answer (Q & A)

matrices,Question and Answer (Q & A)


Question 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


Answer: D
We know that if A is a square matrix of order m, and if there exists another square matrix
B of the same order m, such that AB = BA = I, then B is said to be the inverse of A. In
this case, it is clear that A is the inverse of B.
Thus, matrices A and B will be inverses of each other only if AB = BA = I.

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