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  3. consider the systems of equations ?3x1 +9x2 +4x3 ?

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

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Advance Math

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 thegeneral solution.
(c) What is Rank(A)?
(d) Does Ax = c have a solution for every c in R3?Explain.

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