TRACE

Finds the trace of a square matrix. The trace is equal to the

 

sum of the diagonal elements. (It is also equal to the sum of

 

the eigenvalues.)

 

TRACE(matrix)

TRN

Transposes matrix. For a complex matrix, TRN finds the

 

conjugate transpose.

 

TRN(matrix)

Examples

Identity Matrix

Transposing a Matrix

You can create an identity matrix with the IDENMAT function. For example, IDENMAT(2) creates the 2×2 identity matrix [[1,0],[0,1]].

You can also create an identity matrix using the MAKEMAT (make matrix) function. For example, entering MAKEMAT(IJ,4,4) creates a 4 × 4 matrix showing the numeral 1 for all elements except zeros on the diagonal. The logical operator returns 0 when I (the row number) and J (the column number) are equal, and returns 1 when they are not equal.

The TRN function swaps the row-column and column-row elements of a matrix. For instance, element 1,2 (row 1, column 2) is swapped with element 2,1; element 2,3 is swapped with element 3,2; and so on.

For example, TRN([[1,2],[3,4]]) creates the matrix [[1,3],[2,4]].

Matrices

12-13