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Topic(s):

The animation illustrates the multiplication a \(5 \times 5\) matrix by a \(5 \times 1\) vector, \(A\mathbf{x}\), computed as linear combinations of the columns of \(A\). The weights in the linear combination are the components of \(\mathbf{x}\). The scalar multiples of the columns are computed, then the sum of the resulting vectors is displayed. After the animation completes, clicking *Start* gives a different matrix and vector.

Identifier:

http://www.math.wsu.edu/faculty/genz/220v/lessons/kentler/Mult/anim.html

Subject:

Rating:

Creator(s):

C. J. Kentler and Alan Genz

Cataloger:

Judi McDonald / David Hill

Publisher:

Washington State University website

Rights:

C. J. Kentler and Alan Genz

Format Other:

Java may need to be enabled in the Java Console

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## Comments

## nice illustration about how to think about matrix multiplication

This is a really nice program that illustrates how we think about matrix multiplication

## Has some glitches

Has some glitches. Pressing start causes speed to return to default (too fast). Often the vector is missing an entry and/or its right bracket.

## Super Animation

Beautiful animations. It's really nice that there is a restart button which modifies the matrix and the vector.

## Cute animation

Cute animation showing how to multiply a matrix times a vector by taking a linear combination of the columns of the matrix.