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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ - Mathematics Stack Exchange

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Have been trying this problem for $4$ hours still can't figure it out.

linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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linear algebra - Find a matrix $X∈V$ such that $U∩W=\mathrm{span}\{X\}.$ -  Mathematics Stack Exchange

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