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`tr(A) = A_(11)+ A_(22)+ A_(33)`

Enter a value for all fields

The **Trace of a 3X3 Matrix** calculator computes the trace (**Tr**) of a 3x3 matrix (**A**).

**INSTRUCTIONS:** Enter the following

- (
**A**) The 3x3 matrix.

**TRACE:** The calculator computes the trace of the 3x3 matrix.

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**Trace of 3X3 Matrix**

[**Math | Numerical Analysis | Matrices**] This equation computes the trace of a three-by-three matrix.

Given a square matrix where:

A = `[[A_11,A_12,A_13],[A_21,A_22,A_23],[A_31,A_32,A_33]]` ,

the Trace of this matrix is defined as:

tr (A) = `A_11` + `A_22`+ `A_33`

The trace can be used in a number of numerical analyses computing things like the eigenvalues of a matrix.

The trace of a square matrix (the matrix must be a square matrix) is simply the sum of the diagonals: `A_11 + A_22 +` ... `A_nn`.

Note that the trace of a matrix is equal to that of its transpose, i.e., tr(**A**) = tr(**A**^{T})