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Home > Matrix & Vector > Matrix Structure > Upper Triangle Matrix checker example
11. is Upper Triangle Matrix example ( Enter your problem )
( Enter your problem )
  1. Definition & Examples
  2. Example-2

2. Example-2


1. is Upper Triangle Matrix ?
`[[1,2,3,4],[0,4,5,6],[0,0,6,7],[0,0,0,8]]`

Solution:
A square matrix, in which all elements below the main diagonal are zero, is called a upper triangle matrix.

`A` = 
`1``2``3``4`
`0``4``5``6`
`0``0``6``7`
`0``0``0``8`


Here, all elements below the main diagonal are zero, so it is a upper triangle matrix.
2. is Upper Triangle Matrix ?
`[[1,2,3,4],[3,4,5,6],[4,5,6,7],[0,0,0,8]]`

Solution:
A square matrix, in which all elements below the main diagonal are zero, is called a upper triangle matrix.

`A` = 
`1``2``3``4`
`3``4``5``6`
`4``5``6``7`
`0``0``0``8`


Here, `a_(21)=3!=0`, so it is not a upper triangle matrix.


This material is intended as a summary. Use your textbook for detail explanation.
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