Questions
The system of homogeneous equations has a non-trivial solution for
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a
three values of ‘t’
b
two values of ‘t’
c
one value of ‘t’
d
Infinite number of values of ‘t’
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Correct option is C
The condition for the system of equations to have a non-trivial solution is|A|=0⇒tt+1t-1t+1tt+2t-1t+2t=0, Apply R3→R3-R2;R2→R2-R1⇒tt+1t-11-13-22-2=0, Apply: C1→C1+C2⇒2t+1t+1t-10-1302-2=0⇒(2t+1)2-6=0⇒t=-1/2.Similar Questions
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