Example 5 - Chapter 4 Class 12 Determinants
Last updated at April 16, 2024 by Teachoo
Finding determinant of a 2x2 matrix
What is determinant?
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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 5 Find values of x for which |■8(3&x@x&1)| = |■8(3&2@4&1)| Given |■8(3&x@x&1)| = |■8(3&2@4&1)| Putting values 3 – x2 = – 5 – x2 = – 5 – 3 – x2 = – 8 x2 = 8 Calculating |■8(3&x@x&1)| = 3(1) – x (x) = 3 – x2 Calculating |■8(3&2@4&1)| = 3(1) – 4(2) = 3 – 8 = – 5 x = ± √8 = ± √(2" ×" 2" ×" 2) = ± 2√2 Hence value of x is ± 2√𝟐
