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3. Types

a. Vector

A vector matrix is a single dimension matrix with either one row or one column.

b. Square

A square matrix is has the same number of rows as columns: m[A]m

A matrix element is identified using the lower case version of the matrix name. It is preceded by its row location and followed by its column location: element 3a2 is in the third row and second column. The elements of the [A] matrix are:

c. Diagonal Matrix

A diagonal matrix is square with non-zero elements along one diagonal and zeros in the off-diagonal elements.

 

d. Identity Matrix

An identity matrix is a special diagonal matrix where the upper-left to lower-right diagonal elements are all equal to one.

 

An identity matrix is generally identified as [I].

e. Symmetric Matrix

A symmetric matrix is a square matrix whose elements are mirrored about its diagonal.