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Home > Matrix & Vector calculators > Trace of a matrix example
12. Matrix Trace example ( Enter your problem )
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  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
11. Cofactor of a matrix
(Previous method)		2. Example-2
(Next example)

1. Definition and Examples


Trace of a matrix
It is the sum of all the diagonal elements of a square matrix.
`[A]=[[a,b,c],[d,e,f],[g,h,i]]`

Then `"Trace"(A) = a + e + i`
Examples
1. Find `Trace(A)` ...
`A=[[3,1,1],[-1,2,1],[1,1,1]]`

Solution:
`trace(A)` = 
`trace`
`3``1``1`
`-1``2``1`
`1``1``1`


`=3+2+1`

`=6`

2. Find `Trace(B)` ...
`B=[[2,3,1],[0,5,6],[1,1,2]]`

Solution:
`trace(B)` = 
`trace`
`2``3``1`
`0``5``6`
`1``1``2`


`=2+5+2`

`=9`



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11. Cofactor of a matrix
(Previous method)		2. Example-2
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