Hi, I was wondering what values of a and b such that the entries for this matrix are all non negative?
What I did was:
we know that 4b-1<0
so we must have 4b=>0 and b+2a=>0 and 8a+1=>0
then we get 0<=b<1/4 and a=>-1/8 and a=>b/-2
we can find an interval for b but what about a?
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1. Independently of we have non negative. 2. are non negative iff i.e. . 3. For , is non negative iff . 4. For , is non negative iff i.e. . 5. For and , is non negative iff .
So, the solution is the region of the plane:
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