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Solutions ⇒ Class 12th ⇒ Mathematics-I ⇒ 4. Determinants

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

CBSE board students who preparing for class 12 ncert solutions maths and Mathematics-I solved exercise chapter 4. Determinants available and this helps in upcoming exams 2023-2024.

You can Find Mathematics-I solution Class 12 Chapter 4. Determinants

• All Chapter review quick revision notes for chapter 4. Determinants Class 12
• NCERT Solutions And Textual questions Answers Class 12 Mathematics-I
• Extra NCERT Book questions Answers Class 12 Mathematics-I
• Importatnt key points with additional Assignment and questions bank solved.

Chapter 4 Mathematics-I class 12

Exercise 4.4 class 12 Mathematics-I Chapter 4. Determinants

• 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

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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Study Materials List:

Solutions ⇒ Class 12th ⇒ Mathematics-I
1. Relations and Functions
2. Inverse Trigonometric Functions
3. Matrices
4. Determinants
5. Continuity And Differentiability
6. Application of Derivatives

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