What is a matrix according to James Joseph Sylvester?
A rectangular array of real or complex numbers arranged in rows and columns.
How is the order of a matrix written and what do m and n represent?
The order is written m × n, where m is rows and n is columns.
What is a matrix element denoted as aᵢⱼ?
A single number at the intersection of row i and column j.
What defines a diagonal matrix?
A square matrix with zeros outside the main diagonal.
Matrix Definition - Label
Rectangular array of numbers in rows and columns
Matrix order - Label
Number of rows × number of columns
Column matrix - Label
One column, e.g., 2×1
Row matrix - Label
One row, e.g., 1×3
Matrix element - Label
Number at row i, column j, aᵢⱼ
Diagonal matrix - Label
Non-zero entries only on main diagonal
Zero matrix - Label
All entries are zero
Answer 11 questions on Matrix Concepts and Operations.
1. What does the order of a matrix specify?
2. Which description best defines a matrix?
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