is a Given vectors U₁, ..., up and w in V, show that w is a linear combination of u₁,..., up if and only if W linear combination of the coordinate vectorsu, 1 [u]. / * [W]B' To show the "if" part of the statement, assume that w ¹]... .. [ "P]B`` Write this linear combination below. [w] = Which of the following facts can be directly used to rewrite this linear combination? is a linear combination of the coordinate vectors OA. The coordinate mapping x-[x] is a linear transformation. B. The vectors u₁,..., up can each be written as a linear combination of the vectors in the basis B. O c. The coordinate mapping x-[x] is a one-to-one transformation. D. The basis B spans V.

--00-0 = 1. Let ₁ = and 4 = Is the vector b= 1₁ in the set generated by V1, V2, V3, V4? If yes, state a linear combination equal to 6. If not, justify why you know this.

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The question is in the attached picture