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Examples – HP Prime Graphing Calculator User Manual

Page 491

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Matrices

487

Max Norm

Returns the l

norm (the maximum of the absolute values

of the coordinates) of a vector.

maxnorm(Vect or Mtrx)

Example:

maxnorm

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:

Sv

.)

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]].

Reduced-Row

Echelon Form

The set of equations

can be written as the augmented matrix

1 2 3 4

x 2y

3z

+

14

2x y z

+

3

4x

2y

2z

+

14

=

=

=

1 2

3 14

2 1

1

3

4 2

2 14