Chapter 4 Section 4: Problem 15 Previous Problem List Next (1 point) Let x,y,z b

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Chapter 4 Section 4: Problem 15 Previous Problem List Next (1 point) Let x,y,z be (non-zero) vectors and suppose w-20x - 15y + 4z. If z 3y - 4x, then w Using the calculation above, mark the statements below that must be true. F. A. Span(w, y, z) = Span(w, x) B. Span(x, y)-Span(w, z) C. Spanfw, z) Span(w, x, z) D. Span(w, x, y) Span(w, y) E. Span(w, x, z) Spanx, z) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 6 times. Your overall recorded score is 0%. You have unlimited attempts remaining.

Explanation / Answer

W=20x-15y+4z

If Z=3y-4x Then W=20x-15y+4(3y-4x)

=20x-15y+12y-16x

=4x-3y

From the above result we say span (x,y)=span (w,z)

As 4x-3y belongs to span (x,y)

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