7. Let V be the R-vector space of 2 × 2 matrices with entries in R: v-{: ]anden}. a |a, b, c, d e R. V = |c d Show that the set of traceless (i.e. the sum of the diagonal entries is zero) matrices is a vector subspace of V.

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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.