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Chapter 4 Class 12 Determinants

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