Matrices Flashcards
- Reduces complicated systems of equations to simple expressions
- Adaptable to systematic method of mathematical treatment and well suited to computers
Matrix
is a set or group of numbers arranged in a square or rectangular array enclosed by two brackets
Matrix
The number of rows may be any integer but the number of columns is always 1
Column matrix or vector
Any number of columns but only one row
Row matrix or vector
Contains more than one element and number of rows is not equal to the number of columns
Rectangular matrix
The number of rows is equal to the number of columns
Square matrix
A square matrix where all the elements are zero except those on the main diagonal
Diagonal matrix
A diagonal matrix with ones on the main diagonal
Unit or Identity matrix - I
All elements in the matrix are zero
Null (zero) matrix - 0
A square matrix whose elements above or below the main diagonal are all zero
Triangular matrix
A square matrix whose elements below the main diagonal are all zero
Upper triangular matrix
A square matrix whose elements above the main diagonal are all zero
Lower triangular matrix
A diagonal matrix whose main diagonal elements are equal to the same scalar
A scalar is defined as a single number or constant
Scalar matrix
Two matrices are said to be equal only when all
corresponding elements are equal
Therefore their size or dimensions are equal as well
EQUALITY OF MATRICES
the number of columns of A must equal the number of rows of B
conformable