# f(0)=10, f(12)=8, f(24)=7 f(36)=6,5, f(48)=6. I know how to construct an exponential function if I have two points, but I don't know how to create this function, or that such exponential functian even exists.

f(0)=10, f(12)=8, f(24)=7 f(36)=6,5, f(48)=6. I know how to construct an exponential function if I have two points, but I don't know how to create this function, or that such exponential functian even exists.
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Berattirna
If A is not invertible, then consider a matrix V associated to some non-zero linear map that is 0 on $\mathrm{col}A$. Then, $VA=0$ and $V\ne 0$