In the matrix equation Px = q which of the following...

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In the matrix equation Px = q, which of the following is a necessary condition for the existence of at least one solution for the unknown vector x

A. Augmented matrix [Pq] must have the same rank as matrix P

B. Vector q must have only non-zero elements

C. Matrix P must be singular

D. Matrix P must be square

Answer: Option A

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