System of linear equations of unique solutions, no solution, Part -6 by Rahimuddin Sheikh
Ex: For what values of k, the equations
x+y+z=1
2x+y+4 z=k
4 x+y+10 z=k² has a solution ?
Ex: Find what values of a and b the system of linear equations:
x+y+z=6
x+2y+5 z=10
2x+3y+a z=b has
(i) a unique solution
(ii) no solution
(iii) infinite solutions
Also find the solution for a=2 and b=8
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