Further Examples: LinearSolve

This is the solution of the linear system m.s == v.

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This checks the result.

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LinearSolve with one argument gives a LinearSolveFunction object that corresponds to a given matrix.

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You can apply the LinearSolveFunction object repeatedly to vectors to get solutions.

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We can also solve rectangular linear systems if a solution exists.

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This checks the result.

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In this case we have an infinite number of solutions. To get all the solutions we can use Solve.

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The set of solutions is one-dimensional.

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This checks the result.

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The solution generated by LinearSolve corresponds to c == 0.

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There are systems of linear equations for which there are no solutions.

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Modular systems

You can solve matrix equations over the integers modulo .

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This checks the result.

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This clears the variables.

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