2x2 Matrix Operations Acting on a Unit Square

matrix A

A

11

A

12

A

21

A

22

matrix B

B

11

B

12

B

21

B

22

available matrices

I

A

B

A + B

B + A

A B

B A

-1

A

A

zoom

3

This Demonstration shows the images of various combinations of two 2×2 matrices

A

and

B

acting on a unit square.

References

[1] H. Dogan-Dunlap, "Linear Algebra Students' Modes of Reasoning: Geometric Representations," Linear Algebra and Its Applications, 432(8), 2010 pp. 2141–2159.

[2] H. Dogan, R. Carrizales, and P. Beaven, "Metonymy and Object Formation: Vector Space Theory," in Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education (PME 2011), Ankara, Turkey (B. Ubuz, ed.), 2011 pp. 265–272.

Permanent Citation

Hamide Dogan

"2x2 Matrix Operations Acting on a Unit Square"
http://demonstrations.wolfram.com/2x2MatrixOperationsActingOnAUnitSquare/
Wolfram Demonstrations Project
Published: June 17, 2014