Mark the true statments please Let x, y, z be (non-zero) vectors and suppose w =fz = x + 4y, then w = 1x+ 4A. Span(x, y) = Span(w, z)B. Span(w, z) = Span(w, y)C. Span(w, x) = Span(x, y, z)D. Span(x, y) = Span(x, z)E. Span(w, y) = Span(y, z): 2x + 8y - z.y.Using the calculation above, mark the statements below that must be true.

Answered: Image /qna-images/answer/af0a04be-09ee-43f6-bf02-250c2440d391.jpg

Answered: Let x, y, z be (non-zero) vectors and…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

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For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.
For the vectors x=(1, -1, i, -i) and y=(1, i, -1, i) find the span(x,y)
Let x, y, z be (non-zero) vectors and suppose w = -12x - 6y + 2z. If z = 4x + 2y, then w = x+ A. Span(y, z)= Span(w, x, z) B. Span(x, z) = Span(w, x, y) C. Span(w, z) = Span(w, y, z) D. Span(w, x, y) = Span(w, z) E. Span(w, y) = Span(w, x) y. Using the calculation above, mark the statements below that must be true.
(b) Let vi (-2,1,5), V₂ = (0, 1, 4), V3 = (-2,4,17). What is span(V₁, V2, V3)? Could it be all of R³?
Let w, x, y, z be vectors and suppose z = x - 4y and w = - -2x - 4y + 2z. Mark the statements below that must be true. A. Span(x, y)=Span(w) B. Span(y, w)= Span(z) C. Span(y) = Span(w) D. Span(x, y) = Span(x, w, z)
Let x, y, z be (non-zero) vectors and suppose w = If z = 4x - 2y, then w = 4 x+ -2 A. Span(w, x) = Span(w, y) B. Span(w, x, y) = Span(w, z) C. Span(w, x, y) = Span(w, y, z) D. Span(w, z) = Span(w, x, z) E. Span(x, z) = Span(y, z) 16x - 8y - 3z. y. Using the calculation above, mark the statements below that must be true.
Let x, y, z be (non-zero) vectors and suppose w = -4x - 16y + 3z. If z = x + 4y, then w = x+ A. Span(y, z) = Span(w, x, y) B. Span(w, x) = Span(x, y) C. Span(w, x, y) = Span(w, z) = D. Span(w, y, z) – Span(x, y, z) E. Span(w, z)= Span(x, y) Y Using the calculation above, mark the statements below that must be true.
Let x, y, z be (non-zero) vectors and suppose that z = -3x+ 4y and w = -6x + 8y – 4z. Are the following statements true or false? ? 1. Span(w, y, z) = Span(w, x) 2. Span(w, x, z) = Span(w, x, y) ? 3. Span(x, z) = Span(w, z) ? 4. Span(w, y) = Span(y, z) 5. Span(w, z) = Span(x, y)
please explain why
Let w, x, y, z be vectors and suppose z = -3x - 2y and w = 6x + 2y + 2z. Mark the statements below that must be true. A. Span(x, y)=Span(w) B. Span(y) = Span(w) C. Span(x, y) = Span(x, w, z) D. Span(x, z)= Span(y, w)
Let x, y, z be (non-zero) vectors and suppose w = 15x - 15y + 4z. If z = 3y - 3x, then w = X+ A. Span(w, z) = Span(x, y, z) B. Span(w, x, y) = Span(w, y, z) C. Span(y, z) = Span(x, y, z) OD. Span(x, z) = Span(w, z) DE. Span(w, x) = Span(x, y) y. Using the calculation above, mark the statements below that must be true.

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