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Can you place the nine cards onto a 3x3 grid such that every row, column and diagonal has a product of 1?

Problem



Put the nine numbers below onto a 3 by 3 grid so that each number occupies one space, and the product of every row, column and diagonal is equal to 1.

$$1         2         3         6         \frac{1}{6}         \frac{1}{3}         \frac{1}{2}         \frac{2}{3}         \frac{3}{2}$$ 

 

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.