Last updated at Dec. 8, 2016 by Teachoo

Transcript

Ex 3.1, 4 Construct a 2 ร 2 matrix, A = [aij], whose elements are given by: (i) aij = (๐+๐)2/2 Since it is a 2 ร 2 matrix it has 2 rows & 2 column. Let matrix be A where A = [โ 8(๐11&๐12@๐21&๐22)] Now it is given that aij = (๐ + ๐)^2/2 Ex 3.1, 4 Construct a 2 ร 2 matrix, A = [aij], whose elements are given by: (ii) aij = ๐/๐ Since it is a 2 ร 2 matrix it has 2 rows & 2 column. Let matrix be A where A = [โ 8(๐11&๐12@๐21&๐22)] Now it is given that ail = ๐/๐ Ex 3.1, 4 Construct a 2 ร 2 matrix, A = [aij], whose elements are given by: (iii) aij =(๐ +2๐)2/2 Since it is a 2 ร 2 matrix it has 2 rows & 2 column. Let matrix be A where A = [โ 8(๐11&๐12@๐21&๐22)] Now it is given that aij = (๐ +2๐)2/2 The required matrix A is A = [โ(๐11 ๐12@๐21 ๐22)]= [โ(9/2 25/2@8 18)]

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.