I'm very lost. Please help. Thanks (4) 10. Let H= {r +2x², 1+ kr,k + (2k + 3))(a) For what value(s) of k is H inearly dependent(b) For what value(s) of k is H a basis for P,?(c) When k=0 what is the dimension of the span of H?

Name: I'm very lost. Please help. Thanks (4) 10. Let H= {r +2x², 1+ kr,k + (
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Description: I'm very lost. Please help. Thanks (4) 10. Let H= {r +2x², 1+ kr,k + (2k + 3))(a) For what value(s) of k is H inearly dependent(b) For what value(s) of k is H a basis for P,?(c) When k=0 what is the dimension of the span of H?

This belong to linear algebra.we check linear independence for the given vectors and find k so that…

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Algebra

(4) 10. Let H = {r+2x2, 1+ ka?, k + (2k + 3)r2} (a) For what value(s) of k is H linearly dependent? (b) For what value(s) of k is Ha basis for P,? (c) When k =0 what is the dimension of the span of H?