Examples – HP 39gs User Manual

Page 201

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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.

HP 39gs English.book Page 13 Wednesday, December 7, 2005 11:24 PM

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