Consider the following tri-diagonal system: a1 bi 0 0...o 0c3a3b3 0 0 cN-1 aN-1 bN-1 0 x3 0 0 0 CNaN XN Using Gauss elimination, show that the above matrix can be rewritten as ai bi 0 o 0 a2 b2 0 0 0 3b3 x1 x2 X3 0 0 000 TN QN where for ai -cibi-i/aj-i for i-2,3,..,AN an Qi -ciQi-laj-i for i-2,3,.,N Consider the following tri-diagonal system: a1 bi 0 0...o 0c3a3b3 0 0 cN-1 aN-1 bN-1 0 x3 0 0 0 CNaN XN Using Gauss elimination, show that the above matrix can be rewritten as ai bi 0 o 0 a2 b2 0 0 0 3b3 x1 x2 X3 0 0 000 TN QN where for ai -cibi-i/aj-i for i-2,3,..,AN an Qi -ciQi-laj-i for i-2,3,.,N