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# Fa98ex2 - Problem 3(25 pts Find the value(s of K for which...

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Fa 98 EGN 3420 EXAM 2 Name ______________________ Problem 1 (25 pts) Solve the system of equations Ax b = by finding A - 1 and then using x A b = - 1 . Leave all answers in terms of fractions. Use only methods from class to find A - 1 . x + y + z = 2 2x - 3y - z = 5 5x + 4y - 2z = -9

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Fa 98 EGN 3420 EXAM 2 Name ______________________ Problem 2 (25 pts) Solve the following system of equations by the Gauss Jordan Method, i.e. transform the augmented matrix (A|b ) into a row equivalent form in which the first three columns are the 3x3 Identity Matrix. Leave all answers in terms of fractions. x 1 + 2x 2 + 3x 3 = 6 2x 1 - 3x 3 = -1 x 1 - 2x 2 + x 3 = 0
Fa 98 EGN 3420 EXAM 2 Name ______________________

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Unformatted text preview: Problem 3 (25 pts) Find the value(s) of K for which the system of equations Ax = b has the solution x=-9, y=-6, z=21. x + y + z = 6 x-Ky + z = 4x + y + 2z = Fa 98 EGN 3420 EXAM 2 Name ______________________ Problem 4 (25 pts) 1. Determine if the equations below are consistent. 2. If they are consistent, find the number of arbitrary unknowns where none implies a unique solution. 3. If there is one or more arbitrary unknowns, determine if b can be arbitrary without solving for the solution. a b c a b c a b-+ = --+-=-= 8 3 2 4 2 2 Work Area...
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Fa98ex2 - Problem 3(25 pts Find the value(s of K for which...

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