Question: Please help solving and showing the work for the following Matrices and Linear Algebra questions! (10) Let 7/ = [-1, 5] and 7 = [3,

Please help solving and showing the work for the following Matrices and Linear Algebra questions!

(10) Let 7/ = [-1, 5] and 7 = [3, -15] (in the vector space R2). (a) Determine whether the vector Vz ( 3 ) - 7(-is) is a linear combination of u and d. (b) Determine whether [2, -10] is a linear combination of 7 and . (c) Determine whether every vector in R2 is a linear combination of 7 and .(11) Suppose u = V = and b JO Find c and c2 such that ci t cz d = b.(12) Let U1 = U2 = and us = -3 CT 10 Let W = Span( 7/1, (2, 73). (a) Find dim(W). (b) Find a basis for W. (13) Suppose S = {V1, ...,5} is a set of linearly independent vectors in R6, and let W = Span(S). (a) Find dim(W), and be sure to explain your answer. (b) Determine whether S is a spanning set for Ro, and be sure the explain your

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