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![Ex 4.4, 1 Class 12 - Find adjoint of each of the matrices [with Video] - Ex 4.4](https://cdn.teachoo.com/8f5c3fa4-1bf2-4ebe-babc-d1fbafcfd99b/slide1.jpg)
Ex 4.4, 1 - Chapter 4 Class 12 Determinants
Last updated at July 21, 2026 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
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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)
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Transcript
Ex 4.4, 1 (Method 1) Find adjoint of each of the matrices. [ā 8(1&2@3&4)] A = [ā 8(1&2@3&4)] adj A = [ā 8(1&2@3&4)] = [ā 8(š&āš@āš&š)] Ex 4.4, 1 (Method 2) Find adjoint of each of the matrices. [ā 8(1&2@3&4)] Let A = [ā 8(1&2@3&4)] adj A =[ā 8(š“11&š“21@š“12&š“22)] Step 1: Calculate minors M11 = |ā 8(2&2@3&4)| M12 = |ā 8(2&2@3&4)| M21 = |ā 8(1&2@3&4)| M22 = |ā 8(1&2@3&4)| Step 2: Calculate cofactors A11 = ć"( ā 1)" ć^(1+1) . M11 = ć"( ā 1)" ć^2 4 = 4 A12 = ć"( ā 1)" ć^(1+2) . M12 = ć"( ā 1)" ć^3 (3) = ( ā 1) (3) = ā3 A21 = ć"( ā 1)" ć^(2+1) . M21 = ć"( ā 1)" ć^3 2 = ( ā 1) (2) = ā2 A22 = ć"( ā 1)" ć^(2+2) (1) = ć"( ā 1)" ć^4 (1) = 1 Step 3: Calculate adjoint adj A = [ā 8(A11&A12@A21&A22)] = [ā 8(š&āš@āš&š)]
