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4 Cards in this Set
- Front
- Back
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Linear equations: m? n? r? |
m = number of equations n = number of variables r = matrix rank (aka # of leading entries in reduced row echelon) |
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Homogenous systems: When does the system have a unique solution? |
When r = n (rank = number of variables) |
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Homogenous systems: When does the system have infinitely many solutions? |
When n > r (more variables than the rank number) |
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What is the general solution when n > r in a homogenous system? |
There's infinite solutions, but the GENERAL solution is: (n - r) parameters |
