(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?