MTH 501 Lecture 2 Matrices VU

Introduction to Matrices:
Matrices as a fundamental mathematical concept.
Representation of matrices using rows and columns.
Notation for matrices.

Matrix Operations:
Addition and subtraction of matrices.
Scalar multiplication.
Matrix multiplication (also known as matrix product or matrix dot product).

Special Types of Matrices:
Square matrices (where the number of rows equals the number of columns).
Identity matrix.
Zero matrix.
Diagonal matrix.
Symmetric matrix.

Matrix Transposition:
Definition of the transpose of a matrix.
Properties of transposed matrices.

Matrix Inversion (if covered in the lecture):
The concept of the inverse of a square matrix.
Conditions for the existence of an inverse.
Finding the inverse of a matrix (if time permits).

Applications of Matrices:
Matrices in solving systems of linear equations.
Matrices in transformations and computer graphics.
Other real-world applications of matrices.

Matrix Notation and Terminology:
Introduction to matrix notation and terminology.
Rows, columns, elements, entries, dimensions, etc

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