Linear dependence, independence, and singular and non-sinular matrices
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Linear dependence
The vector [Equation goes here - download the original to see it.] if and only, there exists numbers [Equation goes here - download the original to see it.] The numbers could be of any type - real or complex - but at this level you will only meet real numbers. We now summarise our findings. [Equation goes here - download the original to see it.] The last condition means that there does exist a solution to the system of simultaneous equations formed when we attempt to form one column or row of A as a linear combination of the others. Conversely, [Equation goes here - download the original to see it.]
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Contents of
Linear dependence, independence, and singular and non-sinular matrices
1 Linear dependence, independence, and singular and non-singular matrices
2 Linear dependence
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