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

In Matlab,

Find the scalar (lamda) for which x+(lamda)v equals the solution obtained with the backslash operator \. Hence, x=B\b in matlab

(This is another way of finding the inverse inv(B)... we could also use x=B\b)

2. Relevant equations

We have Bx = b

B =

[-1 2 -3

0 4 1

3 -6 9]

b = [-12 -1 36]

Null space v=[-14 -1 4]

x = [-12.0000, -0.2143, -0.1429] <--- from B\b in matlab

3. The attempt at a solution

B*(x + (lamda)v) = b

Bx + (lamda)Bv = b

since v is the null space (lamda)Bv=0

therefore, (lamda) could be anything?

Is that correct?

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# Numerical linear Albebra

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