Vector Geometry
Topic and contents
Lengths and distances
Lengths and Distances
Length of a vector a Rn is
School of Mathematics and Statistics
|a| =
MATH1151 Algebra
MATH1151 (Algebra)
L12 Angles, Dot product, Projections
Vector Geometry
AB= b a = (b1 a1

Vector Geometry
Topic and contents
Projections
Projection Revision
Ar
Definition (Projection onto a line)
School of Mathematics and Statistics
b a
r
b
P
b
r
a
MATH1151 Algebra
A/Prof Josef Dick
based on notes from A/Prof Rob Womersley
Lecture 14 Proj

Vector Geometry
Topic and contents
Cross Product
Cross Product
Definition (Cross Product in R3 )
School of Mathematics and Statistics
Cross product of the vectors a = (a1 , a2 , a3 )T and b = (b1 , b2 , b3 )T is
a b = (a2 b3 a3 b2 , a3 b1 a1 b3 , a1 b2 a2

Discrete Random Variables
Topic and contents
Random Variables
Random Variables
Definition (Random Variable)
School of Mathematics and Statistics
A random variable is a function defined on the set of outcomes of a
random experiment.
MATH1151 Algebra
A/Prof

Special matrices
Topic and contents
Square and diagonal matrices
Square and Diagonal Matrices
Definition (Square matrix)
School of Mathematics and Statistics
Matrix A is square number of rows in A = number of columns in A
A Mnn (R)
MATH1151 Algebra
Defin

Matrix Inverse
Topic and contents
Invertible matrices
Matrix Inverse
Definition (Matrix inverse)
School of Mathematics and Statistics
The matrix X is an inverse of the matrix A
Lecture 10 Matrix Inverse
Matrix multiplication not commutative = AX, XA may