matlab (version 1.0.4.1)

magic: MATLAB magic function

Description

Create a magic square.

Usage

magic(n)

Value

Returns an n-by-n matrix constructed from the integers 1 through \(N^2\) with equal row and column sums.

Arguments

n

numeric scalar specifying dimensions for the result

Author

P. Roebuck

Details

The value of the characteristic sum for a magic square of order n is \(sum(1:n^2)/n\). The order n must be a scalar greater than or equal to 3; otherwise, the result will be either a nonmagic square, or else the degenerate magic squares 1 and [].

See Also

ones, zeros

Examples

magic(3)