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