# Animated Matrix -Vector Multiplication

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

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.