Matrices Flashcards
(22 cards)
Order of matrix
Number of rows * Number of columns (m cross n)
Number of elements in matrix
m*n
Row matrix
A matrix having only one row
Column matrix
A matrix having only one column
Horizontal matrix
A matrix in which number of columns are more than number of rows
m<n
Rows and columns denoted as
Rows- m Column - n
Vertical matrix
A matrix in which number of rows are more than number of columns
m>n
Null/Zero matrix
A matrix having all the elements in it as 0(zero)
Square matrix
A matrix in which number of rows is equal to number of columns
m=n
Scalar matrix
Diagonal matrix in which all the diagonal elements are equal
Unit/Identity matrix
A matrix in which all the diagonal elements are equal to 1
Upper triangular matrix
A square matrix A is called upper triangular matrix if i>j
Lower triangular matrix
A square matrix A is called lower triangular matrix if i<j
Trace of a square matrix A
Denoted by - Tr(A)
It’s the sum of elements on its main diagonal
Number of elements in square matrix
n²
Number of diagonal elements in square matrix of order n
n
Number of non diagonal elements in square matrix of order n
n²-n
Number of minimum zeroes in a diagonal matrix of order n
n²-n
Number of minimum zeroes in a triangular matrix of order n
(n²-n)÷2
Comparable matrix
Two matrices A and B are said to be comparable if their orders are same
Equality of matrices
Two matrices A and B are said to be equal if they are comparable and their corresponding elements are equal
