The inverse of a 3 by 3 matrix
John Bird
Abstract
John Bird
Abstract
If A = ( a 1 b 1 c 1 a 2 b 2 c 2 a 3 b 3 c 3 ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq2683.tif"/> then the inverse of matrix A , A − 1 = adj A | A| where adj A is the adjoint https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq2684.tif"/>
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If A = ( a 1 b 1 c 1 a 2 b 2 c 2 a 3 b 3 c 3 ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq2683.tif"/> then the inverse of matrix A , A − 1 = adj A | A| where adj A is the adjoint https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq2684.tif"/>
Key concepts: Inverse, Matrix (chemical analysis), Mathematics, Materials science, Geometry, Composite material