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How do you solve augmented matrices on mathematica?

Linear Algebra
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Kidnap Adam Jensen and Neo, enter the matrix, and confront the Wizard of Math. Be prepared, as you must battle him with quantum mechanical inverse kinematic equations.

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Other answers:

says: cannot compute, self destructing. What now?
Use the mighty power of Vault Boy's Bluff and Hacking skill to force it to work.
Try LinearSolve[{{a, b}, {c, d}}, {x, y}]
There's a tutorial here:
still working through it but can you not define an augmented matrix on mathematica?
well I tried Linear Solve[A, {0, 0, y, y}] since A is a 4,4 matrix and it 0 is not a valid variable.

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