Mathematics: MATRICES Topical Past Paper Questions

Consider the following system of equations where $ a \in \mathbb{R} $. $$ 2x+4y-z=10 $$ $$ \begin{aligned}x+2y+az&=5\end{aligned} $$ $$ 5x+12y=2a. $$ (a) Find the value of $a$ for which the system of equations does not have a unique solution. [2] (b) Find the solution of the syst…

[Maximum mark: 6] The following system of equations represents three planes in space. $$ x+3y+z=-1 $$ $$ x+2y-2z=15 $$ $$ 2x+y-z=6 $$ Find the coordinates of the point of intersection of the three planes. 100000000000000000000000000000000000000000000000000000000000000000000000000…