Equipped with the given operations
Find out weather each set equipped with the given operations is a vector space.
The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x,y,z)=(k^2x, k^2y, k^2z).
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Determine the inverse Laplace transform of the following rational function using reduction formulas or inverse formulas involving irreducible quadratics.
Prove the following relations on Z are equivalence relations and describe the equivalence classes:
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Find out weather each set equipped with the given operations is a vector space. The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x,y,z)=(k^2x, k^2y, k^2z).
Find out the limits of the following sequences and then prove.
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