# Chapter 4 Class 12 Determinants (Term 1)

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