Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 4.1, 7 (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)
Ex 4.1, 3 Important
Example 2
Ex 4.1, 8 (MCQ)
Example 5 Important
Ex 4.1, 7 (i) Important You are here
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, 7 Find values of x, if (i) |■8(2&[email protected]&1)| = |■8(2x&[email protected]&x)|Calculating |■8(2&[email protected]&1)| = 2(1) – 5(4) = 2 – 20 = – 18 Calculating |■8(2x&[email protected]&x)| = 2x(x) – 6 × 4 = 2x2 – 24 Now |■8(2&[email protected]&1)| = |■8(2x&[email protected]&x)| Putting values −18 = 2x2 – 24 2x2 – 24 = −18 2x2 = −18 + 24 2x2 = 6 x2 = 6/2 x2 = 3 x = ± √𝟑 Hence, value of x is ± √3
