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Linear Algebra - Standard Matrix of T
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[QUOTE="SetepenSeth, post: 5781212, member: 620262"] [h2]Homework Statement [/h2] Let T: ℝ² → [I]P² [/I] a linear transformation with usual operations such as T [1 1] = 1 - 2x and T [3 -1]= x+2x² Find T [-7 9] and T [a b] **Though I'm writing them here as 1x 2 row vectors , all T's are actually 2x1 column vectors (I didn't see a way to give them proper format)** [h2]Homework Equations[/h2] [/B] T(x)= Ax Ax=b[h2]The Attempt at a Solution[/h2] [/B] Finding the transformation for the required vectors is not an issue, as long as I have the associated standard matrix, however my approaches to find this matrix have not come out successful. Since the transformation goes ℝ² → [I]P² [/I]it is my understanding that the associated matrix is 3x2 so using the inverse or the transformations of the canonical vectors T(ei) don't seem to help much (or I am failing to see how to properly apply them). The other option it is that this is a linear transformation that is not matricial, in which case I'm uncertain on how to approach it. Any advise would be appreciated. [/QUOTE]
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