(a) Determine the conditions on the components the vector b 7 1 5] column space of...

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(a) Determine the conditions on the components the vector b 7 1 5] column space of A=0 1-2? 1 -1 = (b1, b2, b3) so that b is in the [1 2 3] (b) Determine the values of q so that the rank of B = 4 5 6 is 2. 9 8 9 (c) For the above values of q, find the ranks of the matrices BT, BBT and BTB. (a) Determine the conditions on the components the vector b 7 1 5] column space of A=0 1-2? 1 -1 = (b1, b2, b3) so that b is in the [1 2 3] (b) Determine the values of q so that the rank of B = 4 5 6 is 2. 9 8 9 (c) For the above values of q, find the ranks of the matrices BT, BBT and BTB.