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Animated Matrix -Vector Multiplication

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
Rating: 
Average: 4.5 (4 votes)
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: 
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Comments

Anonymous's picture

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

drucker@math.wayne.edu's picture

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.

yasskin's picture

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

Anonymous's picture

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

Dummy View - NOT TO BE DELETED