MCQ (Single Correct Answer)
Given 2x $$-$$ y + 2z = 2, x $$-$$ 2y + z = $$-$$4, x + y + $$\lambda$$z = 4, then the value of $$\lambda$$ such that the given system of equation has...
Let $$A = \left[ {\matrix{
1 & { - 1} & 1 \cr
2 & 1 & { - 3} \cr
1 & 1 & 1 \cr
} } \right]$$ and $$10B = \left[ {\matrix{
4 & 2 & ...
If $$\left[ {\matrix{
1 & { - \tan \theta } \cr
{\tan \theta } & 1 \cr
} } \right]{\left[ {\matrix{
1 & {\tan \theta } \cr
{ - \ta...
If p $$\ne$$ a, q $$\ne$$ b, r $$\ne$$ c and the system of equations
px + ay + az = 0
bx + qy + bz = 0
cx + cy + rz = 0
has a non-trivial solution, th...