(a) If V is a vector space and W is a subset of V that is a vector space, then W is a siubspace of V. (b) The empty set is a subspace of every vwctor space. (c) If V is a vector space other than the zero vector space, thecn V contains a subspace W such that W V.

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Q: Please see image

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.