## Determinants

Complete Syllabus of Chapter 4 Determinants Class 12 Maths :

Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

NCERT Exercise 4.1

NCERT Exercise 4.2

NCERT Exercise 4.3

NCERT Exercise 4.4

NCERT Exercise 4.5

NCERT Exercise 4.6

NCERT Miscellaneous Exercise

NCERT Chapter 4 Examples

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Subject Language: ENGLISH

Explanation Language: HINDI (HINGLISH)

## Lecture - 1

- Introduction to determinants
- Determinants of 1x1 matrix and notations to represent determinants
- Determinant of 2x2 matrix
- NCERT Exercise 1.1 (Q1 to Q8)

## Lecture - 2

- Properties of determinants detailed explanations with examples
- NCERT Exercise 4.2 (Q1 to Q4)

## Lecture - 3

- Summary of properties of determinants
- Purpose of using properties of determinants
- NCERT Exercise 4.2 (Q5 to Q9)

## Lecture - 4

- NCERT Exercise 4.2 (Q10 to Q16)
- Area of a triangle using determinants
- NCERT Exercise 4.3 (Q1 & Q2)
- Prove points are collinear using area of triangle and determinants

## Lecture - 5

- Summary of exercise 4.3
- NCERT Exercise 4.3 (Q3 to Q5)
- NCERT Exercise 4.4 (Q1 to Q3)

## Lecture - 6

- Proof of finding determinants using cofactors
- NCERT Exercise 4.4 (Q4 & Q5)
- Adjoint of a matrix
- NCERT Exercise 4.5 (Q1 to Q5)
- Proof of A.adj(A) = adj(A).A = |A|I

## Lecture - 7

- Derivation of formula to find inverse of a matrix and singular matrix
- NCERT Exercise 4.5 (Q5 to Q18)

## Lecture - 8

- Examining consistency and inconsistency of system of equations with matrix method
- NCERT Exercise 4.6 (Q1 to Q10)
- Solving system of equations using matrix method