(i) For whichvalue k will every system of linear equationswith k equations and 5

ID: 3091151 • Letter: #

Question

(i) For whichvalue kwill every system of linear equationswith kequations and 5 variableshave

infinitely manysolutions?

Answer:

(ii) A certainhomogeneous system of linear equations with 5 equations and 4variables has a

unique solution. Whatis the rank of its augmented matrix?

Answer:

(iii) The rank of theaugmented matrix of an inconsistent system of linear equations is 5. What

is the minimum numberof unknowns the system may have?

Answer:

(iv) The solution of asystem of linear equations with 8 variables can be expressed ina

parametric form with threeparameters. What is the rank of the augmented matrix of thesystem?

If you need explanations let me know 1) k<5 2) rank = 4 3) 4 unknowns sorry but I do not know #4

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