# Misc 10 - Chapter 4 Class 12 Determinants

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc 10 Evaluate 1xy1x+yy1xx+y 1xy1x+yy1xx+y Applying R1→ R1 – R2 = 𝟏−𝟏x−x−yy1x+yy1𝑥x+y = 𝟎−yy1x+yy1𝑥x+y Applying R2→ R2 – R3 = 0−y0𝟏−𝟏x+y−xy−x−y1xx+y = 0−y0𝟎y−x1𝑥x+y Expanding determinant along C1 = 0 𝑦−𝑥𝑥𝑥+𝑦 – 0 −𝑦𝑦𝑥𝑥+𝑦 + 1 −𝑦0𝑦−𝑥 = 0 – 0 + 1 −𝑦0𝑦−𝑥 = (0 – 0 + 1(xy)) = xy

Whole row/column one

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)

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.