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Ex 4.5, 1 - 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, 1 Examine the consistency of the system of equations. x + 2y = 2 2x + 3y = 3 x + 2y = 2 2x + 3y = 3 Step 1 Write equation AX = B [■8(1&2@2&3)] [■8(𝑥@𝑦)] = [■8(2@3)] Hence A = [■8(1&2@2&3)], X = [■8(𝑥@𝑦)] & B = [■8(2@3)] Step 2 Calculate |A| |A| = |■8(1&2@2&3)| = 3 × 1 – 2 × 2 = 3 – 4 = –1 ≠ 0 Since |A| ≠ 0 the system of equations is consistent
