Question: Problem 2 (a) Find the reduced row echelon form R by hand calculation for the following matrices. 2 0 4 A = 0 B =

Problem 2 (a) Find the reduced row echelon form R by hand calculation for the following matrices. 2 0 4 A = 0 B = C 6 2 0 8 8 O 0 1 2 3 Now check the reduced row echelon form R found by hand calculation with the numerically computed RREF in Python or MATLAB. You may use the built in tool. (b) Identify the pivots, pivot variables and free variables of given matrices in Problem 2(a). What's the rank of the matrices? Give a basis of vectors for the column space, nullspace, row space, left nullspace and their respective dimensions. (c) For every c, find R and the special solutions to Ar = 0 with 2 A = 2 4 C 2 2

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