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  3. 1. for each of the following statements indicate i

1. For each of the following statements indicate if it is true or false. If the...

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Advance Math

1. For each of the following statements indicate if itis true or false. If the answer is
false, briefly explain why.

(a) (2 points) Let V be a vector space and consider the subspace W= Span{v1, v2, v3, v4}.
If v1 = 2v2 + v3, then {v2, v3, v4} is a basis for W.


(b) (2 points) If A and B are invertible n × n matrices, then A isrow equivalent to B.


(c) (2 points) Let P3 be the vector space of all polynomials ofdegree less than or equal
to 3. If {p1, p2, p3} are linearly independent in P3, then they area basis of P3.


(d) (2 points) If A is an invertible n × n matrix, then det(A3)> 0.

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