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Chapter 4 Class 12 Determinants

Master Chapter 4 Class 12 Determinants with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Learn Chapter 4 Determinants of Class 12 free with solutions of all NCERT Questions for CBSE Maths

 

We will learn

  • What a determinant is, and its difference from matrix
  • Finding determinant for 2 x 2 and 3 x 3 matrix
  • Finding Area of Triangle using Determinant
  • Finding Equation of line using Determinants (We use Area of Triangle formula)
  • Finding Minors and Cofactors of Determinant
  • Finding Determinant using Minors and Cofactors
  • Finding adjoint of a matrix
  • Finding Inverse of a matrix using Determinants
  • Then, we verify different properties of inverse and solve some questions
    (Like A adj A = |A| I, (AB)-1 = A-1 B-1 , [adj A]-1 = adj A-1)
  • Suppose equation of matrix is given, like A2 – 4A + I = O, we need to find A-1 using this equation. (Here we will use property AA-1 = I)
  • Finding determinants without expanding
  • Properties of determinants
  • Finding Adjoint and Inverse of Matrices
  • Solving linear equations using determinants like x + 2y + 3z = 0, -49x + 27y + 12z = 0

Serial order wise

Ex 4.1 Start Learning
Ex 4.2 Start Learning
Ex 4.3 Start Learning
Ex 4.4 Start Learning
Ex 4.5 Start Learning
Examples Start Learning
Miscellaneous Start Learning
Case Based Questions (MCQ) Start Learning
Properties of Determinant Start Learning

Concept wise

Finding determinant of a 2x2 matrix Start Learning
Evalute determinant of a 3x3 matrix Start Learning
Area of triangle Start Learning
Equation of line using determinant Start Learning
Finding Minors and cofactors Start Learning
Evaluating determinant using minor and co-factor Start Learning
Find adjoint of a matrix Start Learning
Finding Inverse of a matrix Start Learning
Inverse of two matrices and verifying properties Start Learning
Finding inverse when Equation of matrice given Start Learning
Checking consistency of equations Start Learning
Find solution of equations- Equations given Start Learning
Find solution of equations- Statement given Start Learning
Verifying properties of a determinant Start Learning
Two rows or columns same Start Learning
Whole row/column zero Start Learning
Whole row/column one Start Learning
Making whole row/column one and simplifying Start Learning
Proving Determinant 1 = Determinant 2 Start Learning
Solving by simplifying det. Start Learning
Using Property 5 (Determinant as sum of two or more determinants) Start Learning

Why Learn This With Teachoo?

Learn Chapter 4 Determinants of Class 12 free with solutions of all NCERT Questions for CBSE Maths

 

We will learn

  • What a determinant is, and its difference from matrix
  • Finding determinant for 2 x 2 and 3 x 3 matrix
  • Finding Area of Triangle using Determinant
  • Finding Equation of line using Determinants (We use Area of Triangle formula)
  • Finding Minors and Cofactors of Determinant
  • Finding Determinant using Minors and Cofactors
  • Finding adjoint of a matrix
  • Finding Inverse of a matrix using Determinants
  • Then, we verify different properties of inverse and solve some questions
    (Like A adj A = |A| I, (AB)-1 = A-1 B-1 , [adj A]-1 = adj A-1)
  • Suppose equation of matrix is given, like A2 – 4A + I = O, we need to find A-1 using this equation. (Here we will use property AA-1 = I)
  • Finding determinants without expanding
  • Properties of determinants
  • Finding Adjoint and Inverse of Matrices
  • Solving linear equations using determinants like x + 2y + 3z = 0, -49x + 27y + 12z = 0