System of Equations 04. 05. Chapter 04. 05


How do I find the inverse of a matrix?



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How do I find the inverse of a matrix?


If is a matrix, then is a matrix and according to the definition of inverse of a matrix

Denoting









Using the definition of matrix multiplication, the first column of the matrix can then be found by solving



Similarly, one can find the other columns of the matrix by changing the right hand side accordingly.



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