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Definitions from the Web

Adjoint Matrix

Description:

The adjoint matrix, also known as the adjugate or classical adjoint, is a fundamental concept in linear algebra. It is derived from a square matrix by taking the transpose of its cofactor matrix. The adjoint matrix has various applications in solving systems of linear equations, calculating inverses, and finding determinants.

Sample sentences:

As a noun (mathematics):

• The adjoint matrix of a square matrix A is denoted as adj(A).
• Using the adjoint matrix, we can easily compute the inverse of a matrix.
• When the determinant of a matrix is non-zero, the adjoint matrix exists.

As an adjective:

• The adjoint matrix operation provides a way to analyze transformations in linear algebra.
• Applying the adjoint matrix approach allows us to solve complex equations efficiently.
• The adjoint matrix representation is commonly used in quantum mechanics.

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