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Home > Matrix & Vector calculators > Trace of a matrix example
12. Matrix Trace example ( Enter your problem )
( Enter your problem )
  1. Definition and Examples
  2. Example-2
 		Other related methods
  1. Addition of two matrix
  2. Multiplication of two matrix
  3. Division of two matrix
  4. Power of a matrix
  5. Transpose of a matrix
  6. Determinant of a matrix
  7. Adjoint of a matrix
  8. Inverse of a matrix
  9. Prove that any two matrix expression is equal or not
  10. Minor of a matrix
  11. Cofactor of a matrix
  12. Trace of a matrix
1. Definition and Examples
(Previous example)

2. Example-2


1. Find `Trace(A)` ...
`A=[[1,2,3],[4,5,6],[7,8,9]]`

Solution:
`trace(A)` = 
`trace`
`1``2``3`
`4``5``6`
`7``8``9`


`=1+5+9`

`=15`
2. Find `Trace(A)` ...
`A=[[1,1,1],[2,-1,-1],[1,-1,1]]`

Solution:
`trace(A)` = 
`trace`
`1``1``1`
`2``-1``-1`
`1``-1``1`


`=1+(-1)+1`

`=1`

This material is intended as a summary. Use your textbook for detail explanation.
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1. Definition and Examples
(Previous example)


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