(a) Determine the conditions on the components the vector b = (b1, b2, b3) so that b is in the 7 1 column space of A = |0 1 -2? 1 1 -1 [1 2 3] (b) Determine the values of q so that the rank of B = 4 5 6 is 2. 8 9 (c) For the above values of q, find the ranks of the matrices B", BB™ and BTB.
(a) Determine the conditions on the components the vector b = (b1, b2, b3) so that b is in the 7 1 column space of A = |0 1 -2? 1 1 -1 [1 2 3] (b) Determine the values of q so that the rank of B = 4 5 6 is 2. 8 9 (c) For the above values of q, find the ranks of the matrices B", BB™ and BTB.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 17E
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