Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z. Mark the statements below that must be true. A. Span(y) = Span(w) B. Span(x, y)=Span(w) C. Span(x, z)= Span(y, w) D. Span(x, y) = Span(x, w, z)

Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z. Mark the statements below that must be true. A. Span(y) = Span(w) B. Span(x, y)=Span(w) C. Span(x, z)= Span(y, w) D. Span(x, y) = Span(x, w, z)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.1: The Geometry And Algebra Of Vectors

Problem 4EQ

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Question

please explain why

Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z.
Mark the statements below that must be true.
A. Span(y) = Span(w)
B. Span(x, y)=Span(w)
C. Span(x, z)= Span(y, w)
D. Span(x, y) = Span(x, w, z)

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What is the answer to this question and explain why

Let w, x, y, z be vectors and suppose z = 3x + y and w = −12x − 3y + 4z.
Mark the statements below that must be true.
A. Span(y) = Span(w)
B. Span(x, y)=Span(w)
|C. Span(x, z)= Span(y, w)
JD. Span(x, y) = Span(x, w, z)

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