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...