How to calculate Inverse Matrix

May 19th, 2015
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You can calculate the Inverse of a Matrix by: • Step 1: calculating the Matrix of Minors, • Step 2: then turn that into the Matrix of Cofactors, • Step 3: then the Adjugate, and

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INVERSE MATRIXYou can calculate the Inverse of a Matrix by:Step 1: calculating the Matrix of Minors,Step 2: then turn that into the Matrix of Cofactors,Step 3: then the Adjugate, andStep 4: multiply that by 1/Determinant.Example: find the Inverse of A:Step 1: Matrix of MinorsThe first step is to create a "Matrix of Minors". This step has the mostcalculations:For each element of the matrix:ignore the values on the current row and columncalculate the determinant of the remaining valuesDeterminantFor a 22 matrix (2 rows and 2 columns) the determinant is easy: ad-bcThink of a cross:Blue means positive (+ad),Red means negative (-bc)(It gets harder for a 33 matrix, etc)The CalculationsHere are the first two, and last two, calculations of the "Matrix of Minors"(notice how I ignore the values in the current row and colum

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