Frequently Asked Questions
What is the adjugate of a matrix?
The transpose of the cofactor matrix. For an invertible matrix, A inverse equals adj(A) divided by det(A).
Is the adjugate the same as the adjoint?
In introductory linear algebra, yes. In other contexts (functional analysis), the adjoint means the Hermitian or conjugate transpose. Modern textbooks tend to call it the adjugate to avoid confusion.
Why use the adjugate to invert?
It gives a closed-form formula that works for any invertible matrix and is useful for proofs. For numerical computation, Gauss-Jordan elimination is faster for larger matrices.
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