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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
123 4–
x 2y–3z+14
2xyz–+3
4x
–
2y–2z+14
=
=
=
12–314
21 1–3–
42–214