a) Find the value(s) of beR, such that the linear system below has i. no solution ii. unique solution infinitely many solutions ii. + 2y + 2x 2y + 3z 1 + 2y bz b Explain your answer. (NOTE: Do NOT find the solution(s).) 1. 2 2 1 2 2 b) Let A = 0 -2 0 and B =0 1 Find the elementary matrices E,, E,,E, to multiply A , to 1 3 2 0 0 0 give the matrix B.

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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.