Hp 48g Graphing Calculator Uživatelský manuál stáhnout pdf (Strana 172)

Commands for Characterizing Matrices

Key

Prograrnmable

Command

Description

fMTHl lift

i K h' H !■■■. b. ;

SIZE SIZE Command. Returns the dimensions of

the array on level 1 of the stack.

(MTHl PlF 1 k HuRM :

hbs ABS

Prefix. Returns the Frobenius norm of a

matrix and the Euclidean length of a

vector: the square root of the sums of

the squares of the absolute values of the

elements.

SRNM

Command. Returns the spectral norm

of an array. The spectral norm of a

matrix is equal to the largest singular

value of the matrix. Same as ABS for a

vector.

R In i'^! M RNRM Command. Returns the row norm of an

array. The row norm of a matrix is the

maximum value (over all rows) of the

sums of the absolute values of all

elements in a row. The row norm of a

vector is the maximum absolute value of

its elements.

C H R M

CNRM

Command. Returns the column norm of

an array. The column norm of a matrix

is the maximum value (over all

columns) of the sums of the absolute

values of all elements in a column. The

column norm of a vector is the sum of

the absolute values of its elements.

14

14-8 Matrices and Linear Algebra

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