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MatrixPolynomialAlgebra[Coeff] - extract a coefficient of a matrix of polynomials
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Calling Sequence
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Coeff(A, x, n)
Coeff[row](A, x, vn)
Coeff[column](A, x, vn)
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Parameters
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A
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Matrix
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x
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name; specify the variable in which the entries of A are rational polynomials over Q
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n
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integer
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vn
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list of integers
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Description
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The Coeff(A,x,n) command computes the n-th coefficient of a matrix of polynomials A.
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The Coeff[row](A,x,vn) command computes the vn[i]-th coefficient of A for row i. That is, the number of elements in the list vn must equal the number of rows in A.
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The Coeff[column](A,x,vn) command computes the vn[i]-th coefficient of A for column i. That is, the number of elements in the list vn must equal the number of columns in A.
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Examples
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>
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![A := Matrix([[3+x, 1, -4], [4, x, 2], [x^2-1, 4, -1]])](/support/helpjp/helpview.aspx?si=7293/file02403/math127.png)
| (1) |
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![Matrix([[3, 1, -4], [4, 0, 2], [-1, 4, -1]]), Matrix([[1, 0, 0], [0, 1, 0], [0, 0, 0]]), Matrix([[0, 0, 0], [0, 0, 0], [1, 0, 0]])](/support/helpjp/helpview.aspx?si=7293/file02403/math134.png)
| (2) |
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, i = 0 .. 1)](/support/helpjp/helpview.aspx?si=7293/file02403/math138.png)
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![Matrix([[1, 0, 0], [4, 0, 2], [-1, 4, -1]]), Matrix([[0, 0, 0], [0, 1, 0], [0, 0, 0]])](/support/helpjp/helpview.aspx?si=7293/file02403/math141.png)
| (3) |
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, i = 0 .. 1)](/support/helpjp/helpview.aspx?si=7293/file02403/math145.png)
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![Matrix([[1, 1, -4], [0, 0, 2], [0, 4, -1]]), Matrix([[0, 0, 0], [0, 1, 0], [1, 0, 0]])](/support/helpjp/helpview.aspx?si=7293/file02403/math148.png)
| (4) |
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