Question: Page A. Computations Computation 1 (40 points): Consider the following matrix 20022 10011 A: 1 3 1 1 4 andRREF(A)=0 1 0 0 1 1

Page A. Computations Computation 1 (40 points): Consider the following matrix 20022 10011 A: 1 3 1 1 4 andRREF(A)=0 1 0 0 1 1 2 2 1 3 0 0 1 0 0 e) h) Find the basis of the row space, R(A). Find the basis of the column space, C(A). Find the basis of the null space, N(A). Provide the relationship among column vectors of A. What is the rank of A? Provide your reasoning? What is the nullity of AT? Provide your reasoning? Consider the vector b = (2,5,5)T. ls b in the C(A)? Explain. Find the number of solutions of the system Ax = 1). Provide your reasoning? n>ol3 ZOOM +

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