Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 4.5, 8 - Chapter 4 Class 12 Determinants
Last updated at May 29, 2023 by Teachoo
Find solution of equations- Equations given
Chapter 4 Class 12 Determinants
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)
Transcript
Step 2 Calculate |A| |A| = 2 1 3 4 = 2(4) ( 1)(3) = 8 + 3 = 11 |A| 0 Thus, System of equation is consistent & has a unique solution Now, AX = B X = A-1 B Step 3 Calculate X = A-1 B A-1 = 1 |A| adj (A) A = 2 1 3 4 adj A = 2 1 3 4 = 4 1 3 2 Now, A-1 = 1 |A| adj A A-1 = 1 11 4 1 3 2 Thus, X = A-1 B = 1 11 4 1 3 2 2 3 = 1 11 4 2 +1(3) 3 2 +2(3) = 1 11 8+3 6+6 = 1 11 5 12 = 5 11 12 11 Hence, x = & y =
