Element Command

Element( <List>, <Position of Element n> )

Yields the n^th element of the list.

Example:

Element({1, 3, 2}, 2) yields 3, the second element of {1, 3, 2}.

Note: In the CAS View undefined variables can be used as well.

Example:

Element({a, b, c}, 2) yields b, the second element of {a, b, c}.

Element( <Matrix>, <Row>, <Column> )

Yields the element of the matrix in the given row and column.

Example:

Element({{1, 3, 2}, {0, 3, -2}}, 2, 3) yields -2, the third element of the second row of \begin{pmatrix}1&3&2\\0&3&-2\end{pmatrix}.

Note: In the CAS View undefined variables can be used as well.

Example:

Element({{a, b, c}, {d, e, f}}, 2, 3) yields f, the third element of the second row of \begin{pmatrix}a&b&c\\d&e&f\end{pmatrix}.

Element( <List>, <Index1>, <Index2>, ...)

Provided list is n-dimensional list, one can specify up to n indices to obtain an element (or list of elements) at given coordinates.

Example:

Let L = {{{1, 2}, {3, 4}}, {{5, 6}, {7, 8}}}.

Then Element(L, 1, 2, 1) yields 3, Element(L, 2, 2) yields {7, 8}.

Note:

• This command only works, if the list or matrix contains elements of one object type (e. g. only numbers or only points).
• See also First Command, Last Command and RandomElement Command.