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