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Example 8 - Chapter 4 Class 12 Determinants
Last updated at Dec. 16, 2024 by Teachoo
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
Example 8 Find the minor of element 6 in the determinant Δ = |■8(1&2&3@4&5&𝟔@7&8&9)| Since 6 lies in the second row and third column, i.e. a23 = 6 Minor of a23 = M23 = |■8(1&2&3@4&5&𝟔@7&8&9)| = |■8(1&2@7&8)| = 8 – 14 = – 6 Thus, minor of element 6 is −6.
