In each case below, give the 3 x 3 elementary matrix E with the property that left multiplication by E produces the given row operation on an arbitrary 3 xn matrix A. a) Rows 2 and 3 are interchanged. b) Three times row 3 is added to row 1. c) Row 2 is multiplied by 1/5. d) Four times row 2 is subtracted from row 3.

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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.