Element Command

Element( <List>, <Position of Element n> ): Yields the n^th element of the list.

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

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

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.

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

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

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.

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}.

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.