Question

I do not know how to get this answer's last equation(r=λex+...), could you please explain it in detail? what does this equation mean and how to write equation in this form?

thanks

elng 2eru ipnes 2 For what values of the parameter a does the following set of equations have a solution? a is a real number A2 describes these equations in matrix and vector notation. det (AI) 。 implies there are no solutions except for when all three planes cross, which appen only for one special value of a. Add the second and third equation 2-y 1 andy-r-1 to eliminate y, intoz--2. That is only consistent with the first equation for a--2 At that special value a--2:z+2, y-+1 while the second equation reduces to z = y + 1 = x + 2 , which means we have only two independent equations and that the three planes intersect along a common line,

Answer 1