If the system of linear equations x-2y+z=0, 2x-y+3z=0 and λx+y-z=0 b has trivial solutions then the value of λ is

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λ=-45

λ≠-45

λ=2

λ≠2

answer is B.

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Detailed Solution

For trivial solution the determinant of the coefficient matrix is not equal to zero. 1−212−13λ1−1≠0⇒−5λ−4≠0 or λ≠−45

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