HP Prime Graphing NW280AAABA manual Specnorm ⎜, Specrad ⎜, Cond, Rank

Spectral Norm Spectral Norm of a square matrix.

SPECNORM(matrix)
Example:
⎛		⎞
	1 2		returns 5.46498570422
SPECNORM⎜		⎟
⎝	3 4	⎠

Spectral Radius Spectral Radius of a square matrix.

SPECRAD(matrix)
Example:
⎛		⎞
	1 2		returns 5.37228132327
SPECRAD⎜		⎟
⎝	3 4	⎠

Condition Condition Number. Finds the 1-norm (column norm) of a square matrix.

COND(matrix)
Example:
	⎛		⎞
COND		1 2		returns	21
	⎜		⎟
	⎝	3 4	⎠

Rank Rank of a rectangular matrix.

RANK(matrix)
Example:
	⎛		⎞
RANK		1 2		returns 2
	⎜		⎟
	⎝	3 4	⎠

Pivot Given a matrix, a row number n, and a column number, m, uses Gaussian elimination to return a matrix with zeroes in column m, except that the element in column m and row n is kept as a pivot.

pivot(matrix,n,m)
Example:
⎛			⎞
	1 2
⎜		, 1, 1	⎟	returns
pivot⎜	3 4		⎟
⎜			⎟
⎝	5 6		⎠

12

0–2

0–4

Matrices 479