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Ex 4.1, 5 (i) - Chapter 4 Class 12 Determinants
Last updated at Dec. 16, 2024 by Teachoo
Evalute determinant of a 3x3 matrix
Chapter 4 Class 12 Determinants
Concept wise
- Finding determinant of a 2x2 matrix
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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
Ex 4.1, 5 Evaluate the determinant (i) |■8(3&−1&−2@0&0&−1@3&−5&0)| |■8(3&−1&−2@0&0&−1@3&−5&0)| = 3 |■8(0&−1@−5&0)| – (–1) |■8(0&−1@3&0)| +(–2) |■8(0&0@3&−5)| = 3 (0(0) – (–5) (–1) ) + 1 (0(0) – 3(– 1)) – 2 (0(–5) – 3(0)) = 3(0 – 5) + 1 (0 + 3) – 2 (0 – 0) = 3(–5) + 1 (3) + 0 = –15 + 3 = – 12
