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q.1.(a) The following system of linear equations has an infinite number of solutions x+y−25 z=3 x−5 ...

q.1.(a)

The following system of linear equations has an infinite number of solutions

x+y−25 z=3

x−5 y+165 z=0

   4 x−14 y+465 z=3

Solve the system and find the solution in the form x(vector)=ta(vector)+b(vector)→, where t is a free parameter.

When you write your solution below, however, only write the part a(vector=⎡⎣⎢ax ay az⎤⎦⎥ as a unit column vector with the first coordinate positive. Write the results accurate to the 3rd decimal place.

ax =

ay =

az =

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