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Example 3 - 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
Example 3 Evaluate the determinant ∆ = |■8(1&2&4@−1&3&0@4&1&0)| ∆ = |■8(1&2&4@−1&3&0@4&1&0)| = = = 1(0) – 2 (0) + 4 (−1 − 12) = 0 + 0 + 4(−13) = −52
