perplexus.info :: Just Math : Matrix Identity

Matrix Identity (Posted on 2007-04-26)

If I is the 2x2 identity matrix, show that there is an infinite number of matrices X with integer members such that X*X = I.

Submitted by Brian Smith

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Solution: (Hide)

For any value N, the square of the following matrix is I.
[1, N] = X [0, -1]
More solution matrices can be found in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): An Attempt To Generalisation	K Sengupta	2007-05-01 03:23:40
re: An Attempt To Generalisation	Brian Smith	2007-04-30 23:10:29
An Attempt To Generalisation	K Sengupta	2007-04-30 09:17:23
Puzzle Solution With Explanation	K Sengupta	2007-04-27 14:56:40
Problem solution	K Sengupta	2007-04-27 03:09:52
Solution	Bractals	2007-04-26 13:02:54
re: Solution	Charlie	2007-04-26 09:49:05
Solution	hoodat	2007-04-26 09:34:34

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