## How to Prove a Matrix is Nonsingular in 10 Seconds

## Problem 509

Using the numbers appearing in

\[\pi=3.1415926535897932384626433832795028841971693993751058209749\dots\]
we construct the matrix \[A=\begin{bmatrix}

3 & 14 &1592& 65358\\

97932& 38462643& 38& 32\\

7950& 2& 8841& 9716\\

939937510& 5820& 974& 9

\end{bmatrix}.\]

Prove that the matrix $A$ is nonsingular.

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