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Ex 3.1, 4 (i) - Chapter 3 Class 12 Matrices
Last updated at Dec. 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, 4 Construct a 2 × 2 matrix, A = [aij], whose elements are given by: (i) aij = (𝑖+𝑗)2/2 Since it is a 2 × 2 matrix it has 2 rows & 2 column. Let matrix be A where A = [■8(𝑎11&𝑎12@𝑎21&𝑎22)] Now it is given that aij = (𝒊 + 𝒋)^𝟐/𝟐 Hence, the required matrix A is A = [█(𝑎11 𝑎12@𝑎21 𝑎22)] = [■8(𝟐&𝟗/𝟐@𝟗/𝟐&𝟖)]
