Let R3 have the inner product (u, v) = u¡V1 + 2u2V2 + 5u3V3 %3D where u = (u1, U2, U3) and v = (v1, V2, V3). Use Gram Schmidt Process to transform %3D W1 = (1, 1, 1), w2 = (O, 1, 1), w3 = (0, 0, 1) %3D into an orthonormal basis.

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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.