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3 and 4 .Determinants and Matrices
normal
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