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Matrices 12-13

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 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(I≠J,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.

Transposing a

Matrix

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]].

1 2 ... 180 181 182 183 184 185 186 187 188 189 190 ... 287 288

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HP 39g Graphing Calculator Guía de usuario Pagina 185