Let A be an 6 × n matrix of rank r and let b be a vector in R6. For each pair of values of r and n that follow, indicate the possibilities as to the number of solutions one could have for the linear system Ax = b. Explain your answers.
(a) n = 7, r = 5
(b) n = 7, r = 6
(c) n = 5, r = 5
(d) n = 5, r = 4
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