Question: please answer 10. Consider the following composition of linear transformations in R2: (3 points) A dilation with factor k = 2 followed by counter clock
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10. Consider the following composition of linear transformations in R2: (3 points) A dilation with factor k = 2 followed by counter clock wise rotation of 45 followed by a reflection about r-axis. The standard matrix for the above stated compositions is 11. Let 77 : R' - R' is a linear transformation such that (3 points) T7(3, -2) = (25, -5), T7(1, -1) = (11, 0) then T7(r, y) = Page 3 of 5 Vector spaces and subspaces (Total Points = 11) 12. Which of the following subsets of P2 (polynomials of degree two or less) are not subspaces of P2? (3 points) a. {p(z) |p(-r) = p(x) for all x}. b. {p(z)1 / p(x)dx = 0). c. {p(r) |p(3) = 3}. d. {p(x)|p'(x) is equal to 5 for all x}. e. {p(x) |p'(0) = p(3)}. f. {p(x) |p'(x) + 6p(z) +5=9}
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