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Ex 3.1, 5 (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 , 5 Construct a 3 × 4 matrix, whose elements are given by (i) aij = 1/2 |−3i+j| Since it is a 3 × 4 matrix it has 3 rows & 4 column Let the required matrix be A , where A = [■8(a11&a12&a13&a14@a21&a22&a23&a24@a31&a32&a33&a34)]_(3 × 4) It is given that aij = 1/2 |−3i+j|, Hence, the required matrix is A = [■8(𝟏&𝟏/𝟐&𝟎&𝟏/𝟐@𝟓/𝟐&𝟐&𝟑/𝟐&𝟏@𝟒&𝟕/𝟐&𝟑&𝟓/𝟐)]
