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Example 3 - Chapter 3 Class 12 Matrices
Last updated at Dec. 14, 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
Example 3 Construct a 3 × 2 matrix whose elements are given by aij = 1/2 |𝑖−3𝑗|. Since it is 3 × 2 Matrix It has 3 rows and 2 columns Let the matrix be A where A = [■8(𝒂_𝟏𝟏&𝒂_𝟏𝟐@𝒂_𝟐𝟏&𝒂_𝟐𝟐@𝒂_𝟑𝟏&𝒂_𝟑𝟐 )] Now it is given that aij = 𝟏/𝟐 |𝒊−𝟑𝒋| Hence the required matrix is A = [■8(𝑎_11&𝑎_12@𝑎_21&𝑎_22@𝑎_31&𝑎_32 )] = [■8(𝟏&𝟓/𝟐@𝟏/𝟐&𝟐@𝟎&𝟑/𝟐)]
