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Example 7 - Chapter 3 Class 12 Matrices
Last updated at April 16, 2024 by Teachoo
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 7 If A = [■8(1&2&3@2&3&1)] and B = [■8(3&−1&3@−1&0&2)] then find 2A – B. Finding 2A 2A = 2 [■8(1&2&3@2&3&1)] = [■8(2 × 1&2 × 2&2 × 3@2 × 2&2 × 3&2 × 1)] = [■8(𝟐&𝟒&𝟔@𝟒&𝟔&𝟐)] Finding 2A – B 2A – B = [■8(𝟐&𝟒&𝟔@𝟒&𝟔&𝟐)] − [■8(𝟑&−𝟏&𝟑@−𝟏&𝟎&𝟐)] = [■8(2−3&4−(−1)&6−3@4−(−1)&6−0&2−2)] = [■8(−1&4+1&3@4+1&6&0)] = [■8(−𝟏&𝟓&𝟑@𝟓&𝟔&𝟎)]
