What are eigenvalues and eigenvectors in the context of linear transformations?
A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15

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Mathematics
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11th Grade - University
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2.
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What is the significance of the characteristic polynomial in finding eigenvalues?
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3.
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Explain the relationship between the trace of a matrix and its eigenvalues.
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4.
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How do you compute the eigenvalues of a 2 by 2 matrix using the determinant?
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5.
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What is the relationship between the determinant of a matrix and its eigenvalues?
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6.
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Describe the process of rediscovering the eigenvalues using the mean and product of the eigenvalues.
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What is the formula for finding two numbers when you know their mean and product?
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