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Example 15 - 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 15 Find AB, if A = [■8(0&−1@0&2)] and B = [■8(3&5@0&0)] A = [■8(0&−1@0&2)] , B = [■8(3&5@0&0)] AB = [■8(0&−1@0&2)]_(2 ×2) [■8(3&5@0&0)]_(2 ×2) = [■8(0×3+(−1)×0&0×5+(−1)×0@0×3+2×0&0×5+2×0)] = [■8(𝟎&𝟎@𝟎&𝟎)]
