For the given system of simultaneous linear equation 2x_1 −2x_2 +3x_3 +4x_4 −x_5 =0 −x_3 −2x_4 +3x_5 =0 −x_1 +x_2 +2x_3 +5x_4 +2x_5 =0 x_1 −x_2 +2x_3 +3x_4 =0 (a)Write the augmented matrix and convert it into echelon form (b)Hence find all the solution


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Question Number 210298 by Spillover last updated on 05/Aug/24

$F o r t h e g i v e n s y s t e m o f s i m u l t a n e o u s$ $l i n e a r e q u a t i o n$ $2 x_{1} - 2 x_{2} + 3 x_{3} + 4 x_{4} - x_{5} = 0$ $- x_{3} - 2 x_{4} + 3 x_{5} = 0$ $- x_{1} + x_{2} + 2 x_{3} + 5 x_{4} + 2 x_{5} = 0$ $x_{1} - x_{2} + 2 x_{3} + 3 x_{4} = 0$ $(a) W r i t e t h e a u g m e n t e d m a t r i x a n d c o n v e r t$ $i t i n t o e c h e l o n f o r m$ $(b) H e n c e f i n d a l l t h e s o l u t i o n$
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