For each of the following statements, state whether it is true or false, and give anexplanation of your answer.(a) IFU1, U2, andWare all subspaces ofV, andU1+W=U2+W, thenU1=U2.(b) lfT:V→Vand dim(range(T)) =k, thenThas at mostk+1 distinct eigenvalues

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.