Question: Suppose that ?: 2 2 is defined by T ( x ) = A x , where ? = [ 1 3 2 6 ]
Suppose that ?: 2 2 is defined by T ( x ) = A x , where ? = [ 1 3 2 6 ] . a. Find the images of the following vectors under T : ? = [ 1 0 ] , ? = [ 0 1 ] , ? = [ 1 1 ] , ? = [ 2 1 ] , ? = [ 1 1 ] b. Sketch the original vectors on one graph and the images of the vectors on a second graph. Do something like the following, where the graph on the left sketches x , y , w , u , and v , and the graph on the graph sketches their images under the transformation. A B A c. Describe in words what the transformation defined by A does to the vectors. What does the transformation do to the entire space? How did you reach this conclusion
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