Value of a for which system of equations ; a^3x + (a +1)^3 y + (a + 2)^3 , z = 0 , ax + (a + 1) y +

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3 and 4 .Determinants and Matrices

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The value of a for which the system of equations ; $a^3x + (a +1)^3 y + (a + 2)^3 \, z = 0$ ,$ax + (a + 1) y + (a + 2)\, z = 0$ & $x + y + z = 0$ has a non-zero solution is :

A

$1$

B

$0$

C

$-1$

D

none of these

Solution

Use $c_2 \rightarrow c_2 – c_1 \, \& \, c_3 \rightarrow c_3 – c_2 \, \& $ then open by $R_3$.

Standard 12

Mathematics

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