Basis maths-linear algebra-Q15

+1 vote

If S is set of distinct values of b for which the system of linear equations,

                                              \newline x+y+z =1 \newline x+ay+z = 1 \newline ax+by+z =0

has no solution, then S is :

(A). A Singleton

(B). An Empty Set

(C). An Infinite Set

(D). A Finite Set Containing Two or More Elements

asked May 15 in Basic Maths by gbeditor (44,500 points)
reshown May 16 by gbeditor

1 Answer

0 votes
 
Best answer

Here,

image 

For a = 1, the equations become

x + y + z = 1

x + y + z = 1

x + by + z = 0

These equations give no solution for b = 1

Therefore, S is singleton set.

answered May 16 by deepak-gatebook (112,390 points)
Answer:
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