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Find the general solution for system of equations

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Reference no: EM13844509

Problem # 1

Use determinants to find out if the following three vectors are linearly independent. Show your work and justify your answer.

538_System of linear equations.png

Problem # 2

Consider the following system of linear equations:

2x1 + 6x2 + 8x3 + 4x4 =14

2x1+ x2 -2x3 -5x4 = -3

-x1 -2x2 + x3 + 4x4 = 9

(a) Find the general solution for this system of equations with respect to the basic matrix B = (-a1 -a2 -a4), where -ai represents the ith, column of A.

(b) Provide the basic solution for the basic matrix defined in part (a).

Reference no: EM13844509

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