if S is the set of distinct values of b for which the following set of linear equations has no solution,then S isx+Y+z=1x+ay+z=1ax+by+z=0answer-empty set .how?please explain
gifty , 6 Years ago
Grade 12
1 Answers
Arun
Last Activity: 6 Years ago
Here,
1 1 1
D = 1 a 1 = 0
a b 1
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 or empty set
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