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 A
2
– 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