HP 39g+ User Manual

Page 184

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12-12

Matrices

QR

QR Factorization. Factors an m×n matrix into three matrices:
{[[m×m orthogonal]],[[m×n uppertrapezoidal]],[[n×n
permutation
]]}.

QR(matrix)

RANK

Rank of a rectangular matrix.

RANK(matrix)

ROWNORM

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

ROWNORM(matrix)

RREF

Reduced Row Echelon Form. Changes a rectangular matrix to
its reduced row-echelon form.

RREF(matrix)

SCHUR

Schur Decomposition. Factors a square matrix into two
matrices. If matrix is real, then the result is
{[[orthogonal]],[[upper-quasi triangular]]}.
If matrix is complex, then the result is
{[[unitary]],[[upper-triangular]]}.

SCHUR(matrix)

SIZE

Dimensions of matrix. Returned as a list: {rows,columns}.

SIZE(matrix)

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)

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40G