Matrices Part1

From StpmWiki

Contents 1 Notes 1.1 Learning Objectives (Syllabus) 1.2 Prior Knowledge 2 Notation & Definitions 2.1 Order of Matrix 2.2 Element in Matrix 2.3 Square Matrix 2.4 Row Matrix 2.5 Column Matrix 2.6 Null Matrix 2.7 Diagonal Matrix 2.8 Identity Matrix 2.9 Symmetrical Matrix 3 Equal Matrix 4 Addition/Subtraction of Matrix 5 Multiplication with Scalar 6 How to write a Matrix 7 Determinant of Matrices 7.1 Determinant of 2 x 2 Matrices 7.2 Minor 7.3 Cofactor 7.4 Determinant of 3 x 3 Matrices 8 Inverse Matrices 8.1 Inverse of 2 x 2 Matrices 8.2 Transpose of Matrix 8.3 Matrix of Cofactors 8.4 Adjoint of Matrix 8.5 Inverse of 3 x 3 Matrices 9 Singular Matrix 10 Using Calculators

Notes

I am leaving most of the basics for now and will concentrate on the parts students normally have problems with

Learning Objectives (Syllabus)

• understand the terms null matrix, identity matrix, diagonal matrix, and symmetric matrix
• use the condition for the equality of two matrices
• carry out matrix addition, matrix subtraction, scalar multiplication and matrix multiplication for matrices with at most three rows and three columns
• find the minors, cofactors, determinants, and adjoints of and matrices
• find the inverses of and non-singular matrices
• use the result, for non-singular matrices, that
• solve problems involving the use of a matrix equation

Prior Knowledge

• Basic arithmetic & algebra

Notation & Definitions

(To be Done)

Order of Matrix

(To be Done)

Element in Matrix

(To be Done)

Square Matrix

(To be Done)

Row Matrix

(To be Done)

Column Matrix

(To be Done)

Null Matrix

(To be Done)

Diagonal Matrix

(To be Done)

Identity Matrix

(To be Done)

Symmetrical Matrix

(To be Done)

Equal Matrix

(To be Done)

Addition/Subtraction of Matrix

(To be Done)

Multiplication with Scalar

(To be Done)

How to write a Matrix

(To be Done)

Determinant of Matrices

(To be Done)

Determinant of 2 x 2 Matrices

(To be Done)

Minor

(To be Done)

Cofactor

(To be Done)

Determinant of 3 x 3 Matrices

(To be Done)

Inverse Matrices

(To be Done)

Inverse of 2 x 2 Matrices

(To be Done)

Transpose of Matrix

(To be Done)

Matrix of Cofactors

(To be Done)

Adjoint of Matrix

(To be Done)

Inverse of 3 x 3 Matrices

(To be Done)

Singular Matrix

(To be Done)

Using Calculators

(To be Done)