X1 + 4x4 = 4 a) Solve the linear system {-2x1 + x2 – x3 – 3xX4 = -9. -2x1 + x2 – 7x4 = -8 ах + bz 3 2 b) Consider the linear system: {ax + ay + 4z = 4. аy + 2z 3D b For which values of a does the linear system have i. a unique solution; ii. one-parameter infinitely many solutions; iii. two-parameter infinitely many solutions; iv. No solution.

Elementary Linear Algebra (MindTap Course List)
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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X1 + 4x4 = 4
a) Solve the linear system{-2x1 + x2 – X3 – 3x4 = -9.
-2x1 + x2 – 7x4 = -8
ах + bz 3D 2
b) Consider the linear system: {ax + ay + 4z = 4.
ау + 2z 3D b
For which values of a does the linear system have
i. a unique solution;
ii. one-parameter infinitely many solutions;
iii. two-parameter infinitely many solutions;
iv. No solution.
Transcribed Image Text:X1 + 4x4 = 4 a) Solve the linear system{-2x1 + x2 – X3 – 3x4 = -9. -2x1 + x2 – 7x4 = -8 ах + bz 3D 2 b) Consider the linear system: {ax + ay + 4z = 4. ау + 2z 3D b For which values of a does the linear system have i. a unique solution; ii. one-parameter infinitely many solutions; iii. two-parameter infinitely many solutions; iv. No solution.
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