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Ex 4.5, 2 - Chapter 4 Class 12 Determinants
Last updated at Dec. 16, 2024 by Teachoo
Checking consistency of equations
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
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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
Ex 4.5, 2 Examine the consistency of the system of equations. 2x − y = 5 x + y = 4 2x − y = 5 x + y = 4 Step 1 Write equation as AX = B [■8(2&−1@1&1)] [■8(𝑥@𝑦)] = [■8(5@4)] Hence A = [■8(2&−1@1&1)] , X = [■8(𝑥@𝑦)] , B = [■8(5@4)] Step 2 Calculating |A| |A| = |■8(2&−1@1&1)| = 2(1) – 1( – 1) = 2 + 1 = 3 Since |A| ≠ 0 System of equations is consistent,
