(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Alvin is informed that the homogeneous system of equations AX = 0 has a

one parameter family of solutions given by

X = t[4 3 0]^{T}

By trial and error, he has found that

X = [-1 5 7]^{T}

is a solution to the inhomogenous problem

AX = B

where

B = [3 -2 -5]^{T}

He suspects there are more solutions

a) Is there a solution to AX=B of the form [1 a b]^{T}? If so, what are a and b?

b) Is there a solution to AX=B of the form [c d 1]^{T}? If so, what are c and d?

2. Relevant equations

AX = B

X = BA^{-1}

3. The attempt at a solution

I'm more used to simple matrices such as the following

I just don't know how to apply this concept to this question,

my test is tomorrow, any help would be appreciated =)

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# Homework Help: Finding solutions to matrices (should be easy)

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