HP 39g Graphing Calculator User Manual

Page 186

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RANK

ROWNORM

RREF

SCHUR

SIZE

SPECNORM

SPECRAD

SVD

SVL

QR Factorization. Factors an my.n matrix into three matrices:

I \[mxm orthogonal]],[[mxn uppertrapezoidaI\]X\nxn

permutation]] j.

QR(matrix)

Rank of a rectangular matrix.

RANK{matrLx)

Row Norm. Finds the maximum value (over all rows) for the
sums of the absolute values of all elements in a row.

ROWNORM(;7¡arr/,v)

Reduced Row Echelon Form. Changes a rectangular matrix to

its reduced row-echelon fomi.

RREF(«70irLv)

Schur Decomposition. Factors a square matrix into two

matrices. If matrix is real, then the result is

{]{orthogonaI]],[[upper-ciuasi triangular]]].

If matrix is complex, then the result is

{{[unitary]].{{upper-triangular]]}.

5CWR(matrix)

Dimensions oï matrix. Returned as a list: ¡rows,columns|.

SYZE{matri.\)

Spectral Norm of matrix.

SPECNORM(mafrü)

Spectral Radius of a square matrix.

SRRCRAR){matrix)

Singular Value Decomposition. Factors an m x n matrix into
two matrices and a vector:

{[\m X m square orthogonal]],[[n x n square orthogonal]],

[real]].

S\rD{matrix)

Singular Values. Returns a vector containing the singular
values of matrix.

S^himatrix)

12-12

Matrices