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Example 12 - 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
Example 12 Find AB, if A = [■8(6&9@2&3)] and B = [■8(2&6&0@7&9&8)] A = [■8(6&9@2&3)] and B = [■8(2&6&0@7&9&8)] AB = [■8(6&9@2&3)]_(2×2) 〖" " [■8(2&6&0@7&9&8)]〗_(2×3) = [■8(12+63&36+81&0+72@4+21&12+27&0+24)] = [■8(𝟕𝟓&𝟏𝟏𝟕&𝟕𝟐@𝟐𝟓&𝟑𝟗&𝟐𝟒)] = [█(█( @ ) @ @ )]_(𝟐 × 𝟑) On multiplying matrices with order 2 × 2 & 2 × 3 we get order 2 × 3
