School

York UniversityDepartment

Mathematics and StatisticsCourse Code

MATH 1025Professor

Carolina BenedettiThis

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Department of Mathematics and Statistics

Math 1025.03 (Prof. H Joshi) Matrix Terminology Sept. 2012

By end of first week, students are expected to understand some basic Matrix terminology and

operations discussed in Chapter 1 of the text book. I suggest you:

Write the term / phrase

Write its meaning / Definition as given in book

Take time to understand

Construct / give an example or two, to illustrate.

Leave some space for additional explanation.

A Matrix in general.

Special Matrices:

Square Matrix, Identity Matrix, Symmetric Matrix

Diagonal Matrix,, Transpose of a Matrix Skew-

symmetric Matrix Equality of Matrices. Upper / Lower triangular

Zero matrix

Properties of Matrix Arithmetic (Theorem 1.4.1 Pg. 38).

A Linear Equation

A Linear System of Equations

Systems of Linear Equations

Coefficient Matrix of a Linear System

Augmented Matrix of a Linear System

A Solution of a Linear Equation / System

Solution set of a Linear Equation / System

Inconsistent system

Homogeneous / Non homogeneous systems

Three types of Elementary Row Operations

Row-echelon Matrix

Reduced Row-echelon Matrix

Gaussian Matrix of a given matrix

Gauss-Jordan form of a given Matrix

Words of Wisdom

1. Take your notes and do your Homework in a Notebook (not loose sheets )

2. To get an A in Linear Algebra, you need to learn how to perform (and record)

elementary row operations, correctly one at a time. If you miss more

than 3 classes in all, then it will be difficult to do â€śwellâ€ť.

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