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linalg[intbasis] - determine a basis for the intersection of spaces
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Calling Sequence
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intbasis(S1, S2, ..., Sn)
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Parameters
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S[i]
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vector, set of vectors, or list of vectors
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Description
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A basis for the intersection of the vector spaces spanned by the vectors in Si is returned.
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A basis for the zero-dimensional space is an empty set or list.
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The command with(linalg,intbasis) allows the use of the abbreviated form of this command.
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Examples
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Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.
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 = 1, (2) = 0, (3) = 1, (4) = 0})](/support/helpjp/helpview.aspx?si=6214/file07326/math92.png)
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![v1 := vector([1, 0, 1, 0])](/support/helpjp/helpview.aspx?si=6214/file07326/math95.png)
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 = 0, (2) = 1, (3) = 0, (4) = 1})](/support/helpjp/helpview.aspx?si=6214/file07326/math99.png)
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![v2 := vector([0, 1, 0, 1])](/support/helpjp/helpview.aspx?si=6214/file07326/math102.png)
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 = 1, (2) = 2, (3) = 1, (4) = 1})](/support/helpjp/helpview.aspx?si=6214/file07326/math106.png)
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![v3 := vector([1, 2, 1, 1])](/support/helpjp/helpview.aspx?si=6214/file07326/math109.png)
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 = -1, (2) = -2, (3) = 1, (4) = 0})](/support/helpjp/helpview.aspx?si=6214/file07326/math113.png)
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![v4 := vector([-1, -2, 1, 0])](/support/helpjp/helpview.aspx?si=6214/file07326/math116.png)
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![intbasis([v1, v2, v3], [v3, v4], [v2, v3])](/support/helpjp/helpview.aspx?si=6214/file07326/math127.png)
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![{vector([1, 2, 1, 1])}](/support/helpjp/helpview.aspx?si=6214/file07326/math130.png)
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![u := vector([1, -1, 1, -1])](/support/helpjp/helpview.aspx?si=6214/file07326/math137.png)
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![v := vector([1, 1, 1, 1])](/support/helpjp/helpview.aspx?si=6214/file07326/math144.png)
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![w := vector([0, -2, 0, -1])](/support/helpjp/helpview.aspx?si=6214/file07326/math151.png)
| (9) |
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![{vector([-2, 0, -2, 0]), vector([-1, 1, -1, 1]), vector([0, 2, 0, 1])}](/support/helpjp/helpview.aspx?si=6214/file07326/math158.png)
| (10) |
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