modulus

Computes the modulus of a matrix.

Syntax

• modulus(A)

  • A is a matrix

Description

If A is a matrix, then modulus(A) returns the modulus √(A*⋅A) of A.

Notes

This is a matrix function. Do not confuse with:

• abs

• norm

Examples

A ≔ ❨❨5, 0, 2, 3, 1❩, ❨1, 4, 0, 1, 0❩, ❨0, 5, 8, 3, 1❩, ❨−1, 2, 5, 3, 6❩, ❨1, 5, 3, 2, 0❩❩

⎛ 5   0   2   3   1⎞
⎜ 1   4   0   1   0⎟
⎜ 0   5   8   3   1⎟
⎜−1   2   5   3   6⎟
⎝ 1   5   3   2   0⎠

modulus(A)

⎛  4.86531493705   0.197149742661   0.131466734649    1.99615001761  −0.536604274264⎞
⎜ 0.197149742661    7.21423755911    3.61920444225    2.16774802461   0.343709363644⎟
⎜ 0.131466734649    3.61920444225    8.48646517758    3.39284557522    2.31356508346⎟
⎜  1.99615001761    2.16774802461    3.39284557522    2.76123201191    2.04461494862⎟
⎝−0.536604274264   0.343709363644    2.31356508346    2.04461494862     5.2972526882⎠

See also

• HermitianSquare

• √