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# NCERT Solutions class 12 Maths Exercise 4.4

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## NCERT Solutions class 12 Maths Determinants

1. Write minors and cofactors of the elements of the following determinants:

(i)

(ii)

Ans. (i) Let

M11 = Minor of  and A11 =

M12 = Minor of  and A12 =

M21 = Minor of  and A21 =

M22 = Minor of  and A22 =

(ii) Let

M11 = Minor of  and A11 =

M12 = Minor of  and A12 =

M21 = Minor of  and A21 =

M22 = Minor of  and A22 =

### 2. Write minors and cofactors of the elements of the following determinants:

(i)

(ii)

Ans. (i) Let

M11 = Minor of and A11 =

M12 = Minor of and A12 =

M13 = Minor of and A13 =

M21 = Minor of and A21 =

M22 = Minor of and A22 =

M23 = Minor of and A23 =

M31 = Minor of and A31 =

M32 = Minor of and A32 =

M33 = Minor of and A31 =

(ii) Let

M11 = Minor of  and A11 =

M12 = Minor of  and A12 =

M13 = Minor of  and A13 =

M21 = Minor of  and A21 =

M22 = Minor of  and A22 =

M23 = Minor of  and A23 =

M31 = Minor of  and A31 =

M32 = Minor of and A32 =

M33 = Minor of  and A31 =

### 3. Using cofactors of elements of second row, evaluate:

Ans. Elements of second row of  are

A21 = Cofactor of  =

A22 = Cofactor of  =

A23 = Cofactor of  =

=

### 4. Using cofactors of elements of third column, evaluate:

Ans. Elements of third column of  are

A13 = Cofactor of  =

A23 = Cofactor of  =

A33 = Cofactor of  =

=

=  =

=  =

=  =

=  =

### 5. If  and  is cofactor of  then value of  is given by:

(A)

(B)

(C)

(D)

Ans. Option (D) is correct.

## NCERT Solutions class 12 Maths Exercise 4.4

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 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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