Consider the systems of equations −3x1 +9x2 +4x3 −5x4 −4x5 = 5 −3x1 +9x2 +3x3 −6x4...

Consider the systems of equations

−3x1 +9x2 +4x3 −5x4 −4x5 = 5

−3x1 +9x2 +3x3 −6x4 −3x5 = 3

x1 −3x2 −x3 +2x4 +x5 = −1

(a) Write this as a matrix equation Ax = b. (b) Find the general solution.

(c) What is Rank(A)?

(d) Does Ax = c have a solution for every c in R3? Explain.

Expert Solution

Colby Messinger answered 2 years ago

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