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Matrices 15-13

SPECNORM Spectral Norm of matrix.

SPECNORM(matrix)

SPECRAD Spectral Radius of a square matrix.

SPECRAD(matrix)

SVD Singular Value Decomposition. Factors an m × n matrix

into two matrices and a vector:

{[[m × m square orthogonal]],[[n × n square orthogonal]],

[real]}.

SVD(matrix)

SVL Singular Values. Returns a vector containing the singular

values of matrix.

SVL(matrix)

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(I¼J,4,4) creates a 4 ×

4 matrix showing the

numeral 1 for all elements except zeros on the diagonal.

The logical operator ¼ returns 0 when I (the row number)

and J (the column number) are equal, and returns 1 when

they are not equal.

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