Need help

[Cujo]

There are 3 unknowns in this problem, and I suck at simulations equations. So is it possible to turn this into a matrix problem?

[pwlps]

1/16k= 1/R1+1/R2+1/R3=1/R1+1/2R1+1/3(2R1)= 1/R1 *(1+1/2+1/6)

[Wallace Gasiewicz]

 
What matrix? Fairly simple algebra
There really is only one unknown, which is R

1/16 K = 1/R1+1/R2+1/R3  R2=2*R1  R3= 6*R1

1/16K= 1/R1+1/2R1+1/6R1

1/16K= (6+3+1)/6R1

1/16K=10/6R1

6R1=160K     R1=26.6666666666K
In resistor parallel, The total resistance will always be smaller than the smallest resistor value