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}.

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}.

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).

CAS Syntax

Element[ <List>, <Position of Element n> ]

Yields the n^th element of the list.

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[{{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}.

Note:

See also First Command, Last Command and RandomElement Command.