GeeksforGeeks App
Open App
Browser
Continue

# Class 12 NCERT Solutions- Mathematics Part I – Chapter 4 Determinants- Exercise 4.2 | Set 2

Solution:

(i) L.H.S.=

∵ L.H.S.=R.H.S

Hence proved

(ii)

∵ L.H.S.=R.H.S

Hence proved

Solution:

∵ L.H.S.=R.H.S

Hence proved

Solution:

∵ L.H.S.=R.H.S

Hence proved

### Question 14.

Solution:

Multiplying column1,column2,column3  by  a,b,c respectively and then dividing the determinant by  a,b,c .

∵ L.H.S.=R.H.S

Hence proved

### Question 15. Let A be a square matrix of order 3 x 3, then|A| is equal to:

(A) k|A|

(B) k2|A|

(C) k3|A|

(D) 3k|A|

Solution:

Let A = be a square matrix of order 3 x 3   ….(1)

Now, kA=

⇒|kA|=

⇒|kA|=k3

∴ |kA|= k3|A|            [ from eqn .(1) ]

∴ option (C) is correct.

### Question 16.Which of the following is correct

(A) Determinant is a square matrix.

(B) Determinant is a number associated to a matrix.

(C) Determinant is a number associated to a square matrix.

(D) None of these

Solution:

Since, Determinant is a number which is always associated to a square matrix.

∴ option (C) is correct.

My Personal Notes arrow_drop_up
Related Tutorials