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Home > Matrix & Vector calculators > is Upper Triangle Matrix example
11. is Upper Triangle Matrix example ( Enter your problem )
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  1. Definition & Examples
  2. Example-2
 		Other related methods
  1. is Row Matrix
  2. is Column Matrix
  3. is Square Matrix
  4. is Horizontal Matrix
  5. is Vertical Matrix
  6. is Diagonal Matrix
  7. is Identity Matrix
  8. is Scalar Matrix
  9. is Null Matrix
  10. is Lower Triangle Matrix
  11. is Upper Triangle Matrix
  12. is Orthogonal Matrix
  13. is Singular Matrix
  14. is Nonsingular Matrix
  15. is Symmetric Matrix
  16. is Skew Symmetric Matrix
  17. is Nilpotent Matrix
  18. is Involutary Matrix
  19. is Idempotent Matrix
  20. is Periodic Matrix
  21. is Positive Definite Matrix
  22. is Negative Definite Matrix
  23. is Derogatory Matrix
  24. is Diagonally Dominant Matrix
  25. is Strictly Diagonally Dominant Matrix
  26. Auto detect the matrix type
1. Definition & Examples
(Previous example)		12. is Orthogonal Matrix
(Next method)

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.

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1. Definition & Examples
(Previous example)		12. is Orthogonal Matrix
(Next method)


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