Find the inverse of the matrix A = [[4, 2, 3], [2, 2, 2], [1, 0, 1]] using the Gauss-Jordan method.

Step 1: Solve Question 6a.
To find the inverse of matrix $A = \begin{pmatrix} 4 & 2 & 3 \\ 2 & 2 & 2 \\ 1 & 0 & 1 \end{pmatrix}$ using the Gauss-Jordan method, we augment $A$ with the identity matrix $I$ to form $[A|I]$ and perform row operations to transform it into $[I|A^{-1}]$.

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