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How to find the inverse of a matrix

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Presentation on theme: "How to find the inverse of a matrix"— Presentation transcript:

1 How to find the inverse of a matrix
Inverse Matrices (3 x 3) How to find the inverse of a matrix

2 The minor determinant The minor determinant that corresponds to an element is given by deleting the row and column of the element.

3 The minor determinant The minor determinant that corresponds to an element is given by deleting the row and column of the element. The minor determinant corresponding to the 5 is 11.

4 The minor determinant The minor determinant that corresponds to an element is given by deleting the row and column of the element. The minor determinant corresponding to the -3 is 2.

5 The minor determinant The minor determinant that corresponds to an element is given by deleting the row and column of the element. The minor determinant corresponding to the 8 is 7.

6 Finding Inverses 3x3 An algorithm can be followed to find the inverse of a 3x3 matrix, M. Find the matrix of minor determinants. Alter the signs of the minors which don’t lie on the diagonals. Transpose Divide by det(M)

7 Finding Inverses 3x3 (Example)
Make sure non-singular. Find the matrix of minor determinants. Alter the signs of the minors which don’t lie on the diagonals. Transpose Divide by det(M)


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