Consider the [(m + 1) x (n + 1)] matrix A in Eq. (5),

Chapter 3, Problem 17E

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Problem 17E

Consider the [(m + 1) x (n + 1)] matrix A in Eq. (5), where m ≥ n. Show that A has rank n + 1. [Hint: Suppose that Ax = θ, where x = [a0, a1 ,…, an]T. What can you say about the polynomial p(t)= a0 + a1t+ …. + antn?]

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