Last updated at Dec. 18, 2018 by Teachoo

Transcript

Ex3.1 , 10 The number of all possible matrices of order 3 ร 3 with each entry 0 or 1 is: (A) 27 (B) 18 (C) 81 (D) 512 Let A be the matrix of 3 ร 3 i.e. [โ 8(๐_11&๐_12&๐_13@๐_21&๐_22&๐_23@๐_31&๐_32&๐_33 )]_(3 ร 3) There are total 9 elements Each item can be filled in 2 ways (0 or 1) Hence, Number of matrices possible = 2 ร 2 ร 2 โฆโฆ. ร 2 = 29 = 512 So, D is the correct answer

Formation and order of matrix

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

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.