Question: Please help solving and showing the work for the following Matrices and Linear Algebra questions! (14) Suppose a and b are nunihers1 and consider the

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

(14) Suppose a and b are nunihers1 and consider the system of linear equations in variables 1:1 and 3:2: 23:1 + 53:2 a 43:1 + 113:2 b. Solve the system of equations for 3:1 and $2 using ('lrarner's rule. Your answer should he expressed in terms of a and b. (15) Find all values of (.7 so that the following venture are linearly dependent: (16) Consider the following subset of R3. W = {[x, y, z] : x + 2y + 3z = 0}. (a) Determine whether W is a subspace of R3. (b) If so, then find dim(W), and if not, then explain why not

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