Let T: ℛ 3 → ℛ2 be a linear transformation such that T(e1)…
Let T: ℛ 3 → ℛ2 be a linear transformation such that T(e1) = , T(e2) = and T(e3) = where e1, e2 and e3 are the columns of the 3 x 3 identity matrix.a) [4 points] Determine if T is a one-to-one transformation. Mention an appropriate theorem to justify your answer.b) [2 points] Write the 4 x 4 matrix that represents T when homogeneous coordinates are used for vectors in ℛ3.c) [3 points] Find the 3-dimensional coordinates for a point whose homogeneous coordinates are (6, -8, 10, -2)
Read DetailsPART II – BONUS QUESTIONS (Points WILL NOT be deducted, even…
PART II – BONUS QUESTIONS (Points WILL NOT be deducted, even if you answer the questions incorrectly.) Tom has just been exposed to the measles virus, and since he can’t remember if he has had measles before, he wonders if he is going to come down with the disease or not. If there is a significant amount of IgG antibody in his blood shortly after the exposure, this suggests that Tom _______.
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