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Q#1 Linear Algebra GATE EE 2005 MCQ +1 mark -0.33 marks

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:

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

Vector q must have only non-zero elements

Matrix P must be singular

Matrix P must be square

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