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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 )
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.