3. For an arbitary 2-by-2 system of equations ax + by =r cx + dy = s (a) Determine the LU decomposition of the coefficient matrix A. (b) Verify that L times U equals A.

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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.