COS x sin x Prove that the mapping 0 from R under ordinary addition to GL(2,R) defined by 0(x) = - sin x cos x is a group homomorphism. Note: GL (2 R) is the set of 2 x 2 nonsingular matrices with real entries

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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.