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.

Notes

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)