Solution.
A=⎝⎛11−1312−11−1⎠⎞ A=⎝⎛11−1312−1∣11∣0−1∣0010101⎠⎞=⎝⎛1003−25−1∣12∣−1−2∣1010101⎠⎞==⎝⎛100310−1∣1−1∣213∣−230−2125101⎠⎞=⎝⎛100310−1∣1−1∣211∣−210−21651031⎠⎞==⎝⎛1003100∣210∣01∣−21653165313131⎠⎞==⎝⎛1000100∣210∣01∣−21−613165−323131⎠⎞.
So,
A−1=⎝⎛210−21−613165−323131⎠⎞.
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