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Ex 3.4, 18 - Chapter 3 Class 12 Matrices (Term 1)
Last updated at Aug. 9, 2021 by Teachoo
Inverse of matrix using elementary transformation
Elementary operations on a matrix
Inverse of a matrix
Finding inverse of a matrix using Elementary Operations
Ex 3.4, 18 (MCQ) You are here
Example 23
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Ex 3.4, 8 Important
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Example 25 Important
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Example 24 Important
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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
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Inverse of matrix using elementary transformation
- Proof using mathematical induction
Transcript
Ex3.4, 18 Matrices A and B will be inverse of each other only if A. AB = BA B. AB = BA = O C. AB = O, BA = I D. AB = BA = I Given that A & B will be inverse of each other i.e. A-1 = B & B-1 = A From (1) & (2) AB = BA = I So, the correct answer is D
