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Ex 3.3, 7 (i) - Chapter 3 Class 12 Matrices
Last updated at June 8, 2023 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 3.3, 7 Show that the matrix A = [■8(1&−1&5@−1&2&1@5&1&3)] is a symmetric matrix A = [■8(1&−1&5@−1&2&1@5&1&3)] A’ = [■8(𝟏&−𝟏&𝟓@−𝟏&𝟐&𝟏@𝟓&𝟏&𝟑)] ∴ A’ = A Hence, A is a symmetric matrix.
