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Class 12 Tuition > What do you mean by adjoint of matrix?
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What do you mean by adjoint of matrix?

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Simply its transpose of co-factor of that matrix: 1. co-factor - Replace every element by the determinant of matrix formed by eliminating corresponding elements row and column, then multiplied by +/- by their position ex: element belongs to i'th row and j'th column then find determinant of matrix excluding...
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Simply its transpose of co-factor of that matrix: 1. co-factor - Replace every element by the determinant of matrix formed by eliminating corresponding elements row and column, then multiplied by +/- by their position ex: element belongs to i'th row and j'th column then find determinant of matrix excluding i row and j column and multiplied by(-1)^(i+j) 2.Transpose - the above resultant matrix has same dimensions iXj as original matrix we have to interchange rows by columns and vice versa. read less
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In linear algebra, the adjugate, classical adjoint, or adjunct of a square matrix is the transpose of its co factor matrix. The adjugate has sometimes been called the "adjoint", but today the "adjoint" of a matrix normally refers to its corresponding adjoint operator, which is its conjugate transpose...
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It is the transpose of co factor matrix.
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