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Matrix of a Transformation

 
 
RK4
 
Reply Mon 22 Aug, 2005 06:45 pm
Determine the matrix of the given transformation

T : R^n ------> R^m

T ( x_1, x_2 ) = ( x_1 + 3 x_2, 2 x_1 - 7 x_2, x_1 )
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markr
 
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Reply Mon 22 Aug, 2005 11:06 pm
When you multiply an LxM matrix by an MxN matrix you get an LxN matrix.

You've got 1x2 * MxN = 1x3.

M must be 2 and N must be 3.

So, the matrix looks like:

A B C
D E F

Solve for A, B, C, D, E, and F.
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