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Consider the vectors a = a a a b = u= 1 (a) What will be the rank of the following 4 x 4

Consider the vectors a = a a a b = u= 1 (a) What will be the rank of the following 4 x 4 matrices: i. au ii. by V = 1 for a, b R. iii. au+by Your answers should depend on a and b. (b) Explain why the rank of xy, for any x, y R", can never be greater than 1.

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