Quiz 5 [3pt] 1. Determine the RREF and rank of 2664 1 0

Quiz 5 [3pt] 1. Determine the RREF and rank of 2664 1 0 2 ??7 5 4 2 5 2 2 0 16 3 ??2 10 5 3775. [1pt] 2. Suppose that 2664 1 0 ??3 0 0 5 0 1 2 0 0 ??3 0 0 0 1 0 0 0 0 0 0 1 4 3775is the coecient matrix of a homogeneous system already in RREF. Write out the general solution to the system. [3pt] 3. Let B = 8>>>: 2664 11 ??20 3775;2664 42 ??33 3775 9>>= >>;. For each of 2664 ??31 ??21 3775and 2664 ??24 ??11 ??9 3775 either express it as a linear combination of the vectors of B or show that it is not a vector in Span B. [2pt] 4. Determine whether the set 8