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Solutions 4. Determinants - Exercise 4.4 | Class 12 Mathematics-I - Toppers Study

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Solutions 4. Determinants - Exercise 4.4 | Class 12 Mathematics-I - Toppers Study

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Chapter 4 Mathematics-I class 12

Exercise 4.4 class 12 Mathematics-I Chapter 4. Determinants

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  • Solutions 4. Determinants - Exercise 4.4 | Class 12 Mathematics-I - Toppers Study
  • Class 12 Ncert Solutions
  • Solution Chapter 4. Determinants Class 12
  • Solutions Class 12
  • Chapter 4. Determinants Exercise 4.4 Class 12

4. Determinants

| Exercise 4.4 |

Solutions 4. Determinants - Exercise 4.4 | Class 12 Mathematics-I - Toppers Study


Ques.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 = 

 

 

Ques.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 = 

 

 

Ques.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  = 

  = 

 

 

Ques.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  = 

  = 

 

 

 

 

 

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

(A) 

(B)  

(C) 

(D)  

Ans. here, Option (D) is correct.

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