Matrix Operations

What are the basic matrix operations, and what are the complementary Matlab commands?

Consider the following matrix A=[3 0; 8 -1] and matrix B=[2 2; 2 2].

Addition and Subtraction
Two matrixes can only be added if they are of the same size.



Multiplication
The order (A*B or B*A) matters.
The number of columns in the first matrix and the number of columns in the second must be equal.



Exponents and Logarithms
Exponent of 2 or some other
>> 2^3
>>8

Exponent of 2.7222 or e
>>exp(2)
>> 7.3891

Matrix Exponent
>>expm(A)
>> [20.0855, 0 ; 39.4353, 0.3679]

Inverse of Exponents
>> log(exp(1))
>> 1

Inverse of Power of 10
>>log10(100)
>>2

Inverse of Power of 2
>>log2(8)
>>2

Normal
If a vector represents a line, then normal is the length of the line.
If a vctor represents a plane, then normal can be thought of as the area but not equivalant to the actual area.