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 Post subject: Matrix OperationsPosted: Mon, 23 Feb 2009 05:10:16 UTC

Joined: Mon, 23 Feb 2009 01:43:57 UTC
Posts: 5
let a = [1 0]
0 2 , find a matrix B such that AB - BA = [0 1]
-1 0

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 Post subject: Posted: Mon, 23 Feb 2009 06:18:46 UTC

Joined: Sat, 26 Apr 2003 22:14:40 UTC
Posts: 2063
Location: El Paso TX (USA)
Any matrix of the form
will work.

_________________
The greater danger for most of us lies not in setting our aim too high and falling short; but in setting our aim too low, and achieving our mark. - Michelangelo Buonarroti

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 Post subject: Re: Matrix OperationsPosted: Mon, 23 Feb 2009 14:19:38 UTC
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Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 7949
Location: Lexington, MA
Hello, seogstar15!

Helmut is absolutely correct ... I assume you've verfied it.
Now how do we find this elusive matrix?

Quote:
Let
Find a matrix such that: .

Let

We have: .

Then the equation becomes: .

. . . . . . . . . . . and we have: .

Therefore: .

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