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Ex 3.1, 3 - 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
Ex 3.1, 3 If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements? The matrix has 18 element which can be put in the following orders 1 × 18 = 18 2 × 9 = 18 3 × 6 = 18 6 × 3 = 18 9 × 2 = 18 18 × 1 = 18 Number of rows × Number of columns = 18 Hence possible order are 1 × 18, 2 × 9, 3 × 6, 6 × 3, 9 × 2, and 18 × 1 If a matrix has 5 elements 1 × 5 = 5 5 × 1 = 5 No of rows × no of columns = 5 Hence possible orders are 1 × 5 & 5 × 1
