Rank, Nullity, Bases, and Linear IndependenceIn Exercises 47 and 48, use the fact that

Chapter 4, Problem 4.370

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Rank, Nullity, Bases, and Linear IndependenceIn Exercises 47 and 48, use the fact that matrices andare row-equivalent.(a) Find the rank and nullity of(b) Find a basis for the nullspace of(c) Find a basis for the row space of(d) Find a basis for the column space of(e) Determine whether the rows of are linearlyindependent.(f) Let the columns of be denoted byand Which of the following sets is (are) linearlyindependent?

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