14. Graph system of linear equations. Solve the system and interpre...

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14. Graph system of linear equations. Solve the system and interpret the answer. 1 2 x 􀀀 1 3 y = 1 􀀀2x + 4 3 y = 􀀀4 28. Use back substitution to solve the problem: x 􀀀 4 = 4 2y + 2 = 6 3z = 6 30. Solve the system: x1 + x2 + x3 = 0 x2 = 0 50. Solve the system of linear equations: 5x1 􀀀 3x2 + 2x3 = 3 2x1 + 4x2 􀀀 x3 = 7 x1 􀀀 11x2 + 4x3 = 3 86. Explain why the system of linear equations must be consistent when the constant terms c1; c2 and c3 are all zeros. 22. Determine whether the matrix is in row-echelon form. If it is, determine whether it is also in reduced row-echelon form. 2 4 1 0 2 1 0 1 3 4 0 0 1 0 3 5 24. The same as problem 22 2 4 1 0 0 0 0 0 0 1 0 0 0 0 3 5 42. Solve the homogeneous linear system corresponding to the coecient matrix  1 0 0 0 0 1 1 0  50. Find values of a; b and c (if possible) such that the system of linear equation has (a) a unique solution (b) no solution (c) innitely many solutions x + y = 0 y + 2 = 0 x + 2 = 0 ax + by + cz = 0 1 32. Network Analysis: Determine the currents I1; I2; I3; I4; I5 and I6 for the electrical network shown in the gure: 2

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