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Ex 4.3, 1 (i) - 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, 1 Write Minors and Cofactors of the elements of following determinants: (i) |■8(2&−4@0&3)| Minor of a11 = M11 = |■8(2&−4@0&3)| Minor of a12 = M12 = |■8(2&−4@0& 3)| Minor of a21 = M21 = |■8(2&−4@0&3)| Minor of a22 = M22 = |■8(2&−4@0&3)| Cofactor of a11 = A11 = (–1)1+1 M11 = (–1)2 × 3 = 3 Cofactor of a12 = A12 = (–1)1+1 M12 = (–1)2 × 0 = 0 Cofactor of a21 = A21 = (–1)2+1 M21 = (–1)3 (–4) = –1 (–4) = 4 Cofactor of a22 = A22 = (–1)2+2 M22 = (–1)4 ( 2) = 2
