❨❩ (vector brackets)

Creates vectors and matrices.

Syntax

• ❨a, b, ...❩

  • a, b, ... are numbers

• ❨u, v, ...❩

  • u, v, ... are vectors

Description

Vector brackets ❨❩ are used to create vectors and matrices. If a, b, ... are numbers, then ❨a, b, ...❩ is the vector containing these numbers (in order). If u, v, ... are vectors of the same dimension, then ❨u, v, ...❩ is the matrix having these vectors are rows.

Notes

• The vector brackets are implemented by the vector function.

• Using vector brackets is one of the principal ways of creating a matrix.

• To insert vector brackets, press Shift+Ctrl+V or Shift+Ctrl+E or type \vect. (See Keyboard input.)

Examples

A ≔ ❨❨1, 0, 2❩, ❨0, 1, 2❩, ❨1, 1, −1❩❩

⎛ 1   0   2⎞
⎜ 0   1   2⎟
⎝ 1   1  −1⎠

u ≔ ❨1, 2, 1❩

 ⎛1⎞
e⎜2⎟
 ⎝1⎠

A⋅u

 ⎛3⎞
e⎜4⎟
 ⎝2⎠

See also

• vector

• matrix

• Creating a matrix (conceptual)