1. Computational Mathematics - Segment 1 [Week 1 & 2-Basics of Linear Algebra and Matrix Theory] Flashcards
What is a Matrix ?
Matrix is a Rectangular array in which all the Row and Columns have the same number of elements.
How matrix is written ?
Matrix is written in tabular format in row and columns .
What is the order of matrix ?
Order a matrix is calculated as Number of Rows multiplied by number of columns m x n
What is the size of a matrix ?
Size of a matrix is also called order of matrix.
It means number of elements in a matrix
How we denote the elements of my matrix ?
Elements of matrix are denoted in ij entry , element of ith row & jth column is said to be (i , j) entry of matrix and denoted by , see the imaGE
How to create a matrix of 4 rows & 3 columns ?
Matrix of 4 rows & 3 columns is said to be
m x n matrix .
If π΄ is an π Γ π matrix then what is the order of Matrix.
The size or order of matrix π΄ is
π Γ π
What is indices of Matrix ?
(i,j) entry of element is a indices of matrix
indices is an pural of index
What are diagonal entries in a matrix
Square matrix has diagnal entries
What is n x n Matrix ?
A square matrix is an n Γ n matrix;
a matrix having the same number of rows as columns
What is the order of Square Matrix ?
Square matrix is nxn & order is n
What is Identity Matrix ?
All diagnal entries1 & non-diagnal entries 0
A square matrix of order n is the nxn matrix In or I , with all diagonal entries 1 & all non-diagonal entries 0 .
The identity matrix of order π is the π Γ π matrix πΌπ or πΌ with all diagonal entries 1 and all
non-diagonal entries 0.
What is zero matrix ?
The zero or null matrix of order m Γ π is the π Γ π with all entries zero.
What is diagonal matrix ?
A square matrix in which every non-diagonal elements is zero .
A square matrix D = [dij]n x n will be called a diagonal matrix if dij = 0, whenever i is not equal to j
What is the other name of zero matrix?
Null matrix is the other name of zero matrix
