Let x, y, z be (non-zero) vectors and suppose?=-2x-4y+3z. If z=x+2y, then? = 1 x + 2 y. Using the calculation above, mark the statements below that must be true.

A. Span (w, y) = Span (w, x, y)

B. Span (w, z) = Span (x, z)

C. Span (w, x) = Span (w, x, z)

D. Span (w, x) = Span (w, z)

E. Span (y, z) = Span (x, y, z)

Question

Rubi Singh

Mathematics

17 June, 07:59

Let x, y, z be (non-zero) vectors and suppose?=-2x-4y+3z. If z=x+2y, then? = 1 x + 2 y. Using the calculation above, mark the statements below that must be true.

A. Span (w, y) = Span (w, x, y)

B. Span (w, z) = Span (x, z)

C. Span (w, x) = Span (w, x, z)

D. Span (w, x) = Span (w, z)

E. Span (y, z) = Span (x, y, z)

+3

Answers (1)

Know the Answer?

Tanner Fischer · Answer 1

A. Span (w, y) = Span (w, x, y)

C. Span (w, x) = Span (w, x, z)

D. Span (w, x) = Span (w, z)

Step-by-step explanation:

The vectors x, y, z are non zero vectors. Vector has direction and magnitude both. For the given equation of - 2x - 4y + 3z the span for w, y equals the span of w, x, y. The statements A, C and D are true and the other statements B and E are not correct. For the given equation the vector span y, z does not equals span of x, y, z.