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Ex 4.1, 2 (i) - Chapter 4 Class 12 Determinants
Last updated at May 29, 2023 by Teachoo
Finding determinant of a 2x2 matrix
What is determinant?
Finding Determinant
Important things to note in Determinants
Example 1
Question 16 (MCQ) Deleted for CBSE Board 2024 Exams
Ex 4.1,1
Ex 4.1, 2 (i) You are here
Ex 4.1, 3 Important
Example 2
Ex 4.1, 8 (MCQ)
Example 5 Important
Ex 4.1, 7 (i) Important
What is the difference between Matrix & Determinant?
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
Ex 4.1, 2 Evaluate the determinant (i) |■8(cos "θ" &−sin" θ" @sin "θ" &cos "θ" )| [■8(cos "θ" &−sin "θ" @sin "θ" &cos" θ" )] = cos θ(cos θ) − (sin θ) (−sin θ) = cos2 θ + sin2 θ = 1 (𝐴𝑠 "sin2 θ + cos2 θ" =1)
