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MTM[poly] - compute the characteristic polynomial of a matrix
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Calling Sequence
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poly(A)
poly(A,x)
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Parameters
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A
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matrix, vector, array, or scalar
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x
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(optional) name
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Description
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The function poly(A,x) returns the characteristic polynomial in x that has the eigenvalues of the matrix A as its roots (all multiplicities respected).
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This polynomial is the determinant of x*I - A, where I is the identity matrix with the dimension of A.
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If the parameter x is omitted, then the name x is used.
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Examples
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![A := Matrix([[1, 2, 1], [2, 4, 2], [2, 8, 1]])](/support/helpjp/helpview.aspx?si=7669/file04858/math87.png)
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![A := Matrix([[1, 2, 1], [2, 4, 2], [2, 8, 1]])](/support/helpjp/helpview.aspx?si=7669/file04858/math90.png)
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