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Question 7 - Two rows or columns same - Chapter 4 Class 12 Determinants
Last updated at December 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
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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
Question 7 Without expanding, prove that ā = |ā 8(š„+š¦&š¦" + z" &š§+š„@š§&š„&š¦@1&1&1)| = 0 |ā 8(š„+š¦&š¦" + z" &š§+š„@š§&š„&š¦@1&1&1)| Applying R1 ā R1 + R2 = |ā 8(š„+š¦+š§&š„+š¦+š§&š„+š¦+š§@z&š„&š¦@1&1&1)| Taking (x + y + z) common from R1 = (x + y + z) |ā 8(1&1&1@š§&š„&š¦@1&1&1)| R1 and R3 are identical = 0 By Property: if any two row or columns of a determinant are identical then value of determinant is zero
