Question
Download Solution PDFEigen values of a square matrix are always
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
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Eigenvalues of a square matrix can be real or complex, positive, negative, or even zero, depending on the nature of the matrix.
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There is no general restriction that eigenvalues must be only positive, negative, or imaginary unless specific matrix types are involved (e.g., symmetric, skew-symmetric, Hermitian, etc.).
Additional Information
Types of matrices and eigenvalues:
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Symmetric matrices: Have real eigenvalues.
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Skew-symmetric matrices: Have purely imaginary or zero eigenvalues.
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Orthogonal matrices: Have eigenvalues with absolute value 1.
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Diagonal matrices: Eigenvalues are the diagonal elements.
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