Question: Solve the problem. Let A = 1 2 3 3 5 6 2 1 3 and b = b 1 b 2 b 3 Determine

Solve the problem.

Let A =123356213 andb=b1b2b3

Determine if the equation Ax = b is consistent for all possible b ₁, b ₂, b ₃. If the equation is not consistent for all possible b ₁, b ₂, b ₃, give a description of the set of allbfor which the equation is consistent (i.e., a condition which must be satisfied by b ₁, b ₂, b ₃).

a). Equation is consistent for all b₁, b₂, b₃satisfying3b₁+ 3b₂+ b₃= 0.

b). Equation is consistent for all possible b₁, b₂, b₃.

c). Equation is consistent for all b₁, b₂, b₃satisfying -b₁+ b₂+ b₃= 0.

d). Equation is consistent for all b₁, b₂, b₃satisfying -3b₁+ b₃= 0.

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