Let W Be The Union Of The First And Third Quadrants In The Xy Plane That Is Let W A If U Is In W And C Is Any Scalar 1 (74.63 KiB) Viewed 45 times
Let W Be The Union Of The First And Third Quadrants In The Xy Plane That Is Let W A If U Is In W And C Is Any Scalar 2 (30.7 KiB) Viewed 45 times
Let W Be The Union Of The First And Third Quadrants In The Xy Plane That Is Let W A If U Is In W And C Is Any Scalar 3 (22.68 KiB) Viewed 45 times
Let W be the union of the first and third quadrants in the xy-plane. That is, let W= a. If u is in W and c is any scalar, is cu in W? Why? X If u = ~--}- [] [*] If u = If u = A. B. is in W, then the vector cu = c X CX cy [H] [H X CX is in W because (cx) (cy) = c² (xy) ≥ 0 since xy ≥ 0. су is in W, then the vector cu = c X is in W, then the vector cu c [*]: XY 20}. CX Complete parts a and b below. is not in W because cxy ≤0 in some cases. is in W because cxy 20 since xy 20. b. Find specific vectors u and v in W such that u + v is not in W. This is enough to show that W is not a vector space. Two vectors in W, u and v, for which u + v is not in W are (Use a comma to separate answers as needed.)
Let H be the set of all vectors of the form H = Span{v} for v = - 7t F 8t . Find a vector v in R³ such that H = Span{v}. Why does this show that H is a subspace of R³? t
6t 19 - 7t Let H be the set of all vectors of the form Any vector in H can be written in the form tv = 0 Show that H is a subspace of R³. 6t 0, where v = - 7t
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