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Unformatted text preview: – Any row or column has all elements identically zero – Any two rows or columns are identical – Any row or column can be expressed as linear combination of two or more rows or columns of the matrix Inverse of a matrix • Given a matrix A , the inverse of that matrix is a matrix C such that: I is a identity matrix  i.e. 1’s along the diagonal and 0’s everywhere else C is designated as A1 Several methods for calculating inverse exist: – Gauss Jordan elimination – Gaussian elimination I C A = ⋅ Matrix Inversion For a 2 x 2 matrix A1 = = For a 3 x 3 matrix Matrix Inversion • Looking at the expressions on previous slide  it is going to be a problem if det{ A } =  A  = 0 If det{A} = 0 , then matrix A is termed singular Inverse cannot be computed . Array operation, press CTRL+SHIFT+ENTER =MMULT(B3:D5,G3:I5) Subject to roundoff error...
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 Spring '08
 Srinivasan
 Linear Algebra, Matrix Operations, Invertible matrix

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