There are three values of t for which the following system of equations has non-trivial solutions.

(a-t) x+by + cz=0

bx + (c - t) y +az=0

cx + ay + (b-t) z=0

We can express the product of the three values of t in the form of determainant as

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Solution

The correct option is A

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Similar questions

There are three values of t for which the following system of equations has non-trivial solutions.

(a-t) x+by + cz=0

bx + (c - t) y +az=0

cx + ay + (b-t) z=0

We can express the product of the three values of t in the form of determainant as

There are three values of t for which the following system of equations has non-trivial solutions.

(a-t) x+by + cz=0

bx + (c - t) y +az=0

cx + ay + (b-t) z=0

We can express the product of the three values of t in the form of determainant as

(a - t) k + b y + c = 0

b x + (c - t) y + a z = 0

c x + a y + (b - t) z = 0

t

(a + 2 t) x + b y + c z = 0

b x + (c + 2 t) y + a z = 0

c x + a y + (b + 2 t) z = 0

(a - λ) x + b y + c z = 0 b x + (c - λ) y + a z = 0 c x + a y + (b - λ) z = 0

λ

∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & C & a c & a & b \end{matrix} ∣ ∣ ∣ ∣

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