inverse of an adjoint matrix

Feb 3rd, 2012
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California Christian College
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using the inverse of a non singular matrix, we find the inverse of the adjoint matrix with the help of the relation between the determinant of the adjoint matrix and the determinant of the given matrix.

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4a) in view of solution (3) above, without loss of generality, suppose the last row of the given matrix is a linear combination of all its previous rows as , then we can see as in result (3a) that has 1st column is the multiple of the last column, 2nd column is the multiple of the last column and so on upto column is the multiple of last column.(b) This forces that while picking out the scalar multiples of the columns from the rows or columns in view of properties of determinants, we get each column is identical to last column when the respective scalar multiple is taken out from the determi

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