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Ex 3.2, 3 (i) - Chapter 3 Class 12 Matrices
Last updated at Dec. 16, 2024 by Teachoo
Multiplication of matrices
Chapter 3 Class 12 Matrices
Concept wise
- Formation and order of matrix
- Types of matrices
- Equal matrices
- Addition/ subtraction of matrices
- Statement questions - Addition/Subtraction of matrices
-
Multiplication of matrices
- Statement questions - Multiplication of matrices
- Solving Equation
- Finding unknown - Element
- Finding unknown - Matrice
- Transpose of a matrix
- Symmetric and skew symmetric matrices
- Proof using property of transpose
- Inverse of matrix using elementary transformation
- Proof using mathematical induction
Transcript
Ex 3.2, 3 Compute the indicated products (i)[■8(a&b@−b&a)] [■8(a&−b@b&a)] [■8(𝑎&𝑏@−𝑏&𝑎)]_"2 × 2" [■8(𝑎&−𝑏@𝑏&𝑎)]_"2 × 2" = [■8( 𝑎 × 𝑎+𝑏 × 𝑏&𝑎 × (−𝑏)+𝑏 × 𝑎@−𝑏 × 𝑎+𝑎 × 𝑏&(−𝑏) × (−𝑏)+𝑎 × 𝑎)]_(2 × 2) = [■8(𝑎2+𝑏2&−𝑎𝑏+𝑎𝑏@−𝑎𝑏+𝑎𝑏&𝑏2+𝑎2)] = [■8(𝒂𝟐+𝒃𝟐&𝟎@𝟎&𝒃𝟐+𝒂𝟐)]
