HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 589)

100

101

dot([1 2],[3 4]} returns 11

Norm

Returns the l

norm (sqrt(x1^2+x2^2+...xn^2)) of a vector.

l2norm(Vect)

Example:

l2norm([3 4 -2]) returns √29

Norm

Returns the l

norm (sum of the absolute values of the coordinates) of a vector.

l1norm(Vect)

Example:

l1norm([3 4 -2]) returns 9

Max Norm

Returns the l∞ norm (the maximum of the absolute values of the coordinates) of a vector.

maxnorm(Vect or Mtrx)

Example:

maxnorm([1 2 3 -4]) returns 4

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(I ≠J,4,4) creates a 4 × 4 matrix showing the numeral 1 for all elements except zeros on the

diagonal. The logical operator (≠) returns 0 when I (the row number) and J (the column number) are equal, and

returns 1 when they are not equal. (You can insert ≠ by choosing it from the relations palette:

Transposing a Matrix

The TRN function swaps the row–column and column–row elements of a matrix. For instance, element 1,2

(row 1, column 2) is swapped with element 2,1; element 2,3 is swapped with element 3,2; and so on.

For example, TRN([[1,2],[3,4]]) creates the matrix [[1,3],[2,4]].

Matrix functions 541

1 2 ... 584 585 586 587 588 589 590 591 592 593 594 ... 700 701

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