311_Q2Soln - Name S°BUTl 0H Quiz 2 Mth Sc 311 x1 x2—x3=2...

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Unformatted text preview: Name S°BUTl 0H Quiz 2 Mth Sc 311 x1+x2—x3=2 1. Consider the system of linear equations: x2 + x3 = 3 x1 + 2x2 = 5 (4 pts) a. Write down the augmented matrix and use elementary row operations to find the RREF. ‘Lt: (Hz-1%} - ‘10:..5".\Lot|3‘2;;1.: Kt%;:X‘:-‘ x‘ =..‘+ZX3 " 3:“ mm x345“ (2 pts) b. Give the solution set S to the system using letters like a, b, to indicate free variables. ~|+La S -.- s-o. :aelk a, 5={Et+u,3-a,a] : exam} 0. x—2y=-1 (4 pts) 2. Consider the system of two equations in two unknowns: . x +y =2 Plot and clearly label the lines determined by each of the equations and then determine the solution graphically. ...
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