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Ex 4.3, 5 (MCQ) - 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
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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 4.3, 5 If ∆ = |■8(a11&a12&a13@a21&a22&a23@a31&a32&a33)| and Aij is Cofactor of aij then value of ∆ is given by (A) a11 A31 + a12 A32 + a13 A33 (B) a11 A11 + a12 A21 + a13 A31 (C) a21 A11 + a22 A1 2 + a23 A13 (D) a11 A11 + a21 A21 + a31 A31 If ∆ = |■8(a11&a12&a13@a21&a22&a23@a31&a32&a33)| ∆ = Sum of products of elements of row (or column) with their corresponding cofactors ∆ = a11 A11 + a21 A21 + a31 A31 So, option D is correct
