M1 Matrix Flashcards
a rectangular array of variables, constants or objects in general, in horizontal rows and vertical columns enclosed in brackets
matrix
The size of a matrix is described by the notation
m x n (read as m by n).
what do you call the numbers in a matrix
elements or entries
first subscript indicates the X and the second subscript indicates the column Y
row, column
mn elements
Contains more than one element and number of
rows is not equal to the number of columns. It has size
πΓπwhere πβ π
Rectangular matrix
The number of rows may be any integers, but the number of
columns is always 1. Thus, the size should be mΓ1, for any
positive integer m.
Column matrix or Vector
Any number of columns but with only one row.
Thus, the size should be 1Γπ, for any positive integer n.
Row Matrix or Vector
The number of rows is equal to the number of columns (a
square matrix A has an order of n).
Square Matrix
A square matrix where all the elements are zero except those
on the main diagonal.
Diagonal Matrix
A diagonal matrix whose main diagonal elements are equal to the
same number. Hence, it can be defined as a single number or constant.
Scalar Matrix
A diagonal matrix with 1s on the main diagonal.
Unit or Identity Matrix (π°π)
A square matrix whose elements above or below the main
diagonal are all 0s.
Triangular Matrix
Two Types of Triangular matrix
lower triangular matrix or
upper triangular matrix.
A square matrix whose elements below the main diagonal are all
0s.
Upper Triangular Matrix
A square matrix whose elements above the main diagonal are all
0s.
Lower Triangular Matrix
