MATRIX AND ITS TYPES OF MATRICES WITH EXAMPLES ,TRAINGULAR MATRIX

23edm12 99 views 12 slides Aug 04, 2024
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About This Presentation

What is matrix,Rows,columns, type of matrices, row matrix,column matrix,null matrix with examples, square matrix,diagnonal matrix,unit matrix, upper traingular and lower traingular matrix.


Slide Content

Matrix LEVEL -2 NANDHITHA.K 23- EDM-12

MATRIX A Matrix is a rectangular array or arrangement of entries or elements displayed in rows and columns put within a square bracket [ ]. Matrices are denoted by capital letters A, B, C, ... etc. If a matrix A has m rows and n columns, then it is written as , ,1  i  m, 1  j  n.  

In a matrix, the horizontal lines of elements are known as Rows and the vertical lines of elements are known as Columns .   Row 1 Row 2 Row n Row m m rows

Types of Matrices Row matrix A matrix having only one row column matrix A matrix having only one column null matrix A matrix is said to be a zero matrix or null matrix or void matrix denoted by O. If a ij =0 for all values.  

EXAMPLES   Row matrix A = [ ] 2×1   Column matrix A = 2×2   Null matrix

SQUARE MATRIX A matrix in which number of rows is equal to the number of columns, is called a Square matrix. That is, a matrix of order n × n is often referred to as a square matrix of order n. A = is a square matrix of order 3.  

diagonal matrix A square matrix is called a Diagonal matrix if a ij =0 whenever i≠j .      

triangular matrix

triangular matrix

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