Illustrate the equivalence of the assertions (a)–(d) in
Chapter 9, Problem 30E(choose chapter or problem)
Illustrate the equivalence of the assertions (a)–(d) in Theorem 1 (page 513) for the matrix as follows.(a) Show that the row-reduction procedure applied to fails to produce the inverse of A.(b) Calculate det A.(c) Determine a nontrivial solution x to Ax = 0.(d) Find scalars c1, c2, and c3, not all zero, so that c1a1 + c2a2, + c3a3 = 0, where a1, a2, and a3 are the columns of A.
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