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Provide explanation for your calculations: what are you calculating? Why? How do your calculations relate to the question? A good start is to write down

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Provide explanation for your calculations: what are you calculating? Why? How do your calculations relate to the question? A good start is to write down the definitions used in the question! Problem 7. [7 pts.] Consider the transformation T : M2x2 - M2x2 : A HA -AT. A) (3 pts. ) Show that T is linear. B) (2 pts. ) Show that if B is in the range of T, then BT = -B. C) (1 pts. ) Determine if T is one-to-one. D) (1 pts. ) Show that 2 is an eigenvalue of T

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