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Chapter 4 Class 12 Determinants

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

Concept wise

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

What's in it?

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