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Standard Matrix to Reflect over x-axis |
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Standard Matrix to Reflect over y-axis |
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Standard Matrix to Reflect over y=x |
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Standard Matrix to Reflect over y=-x |
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Standard Matrix for Horizontal Scaling |
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Standard Matrix to Reflect over Origin |
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Standard Matrix for Vertical Scaling |
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Standard Matrix for Horizontal Shear |
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Standard Matrix for Vertical Shear |
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Standard Matrix to Project on x-axis |
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Standard Matrix to Project on y-axis |
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When columns of A are linearly independent |
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For T to map Rn onto Rm... |
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1. Ax = b always has solution
2. each b is linear combination of A
3. Columns of A span Rm
4. A has pivot in every row
all true or none true |
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T(x) = b has at least one solution |
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only solution is zero vector |
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Set of Vectors that can be evaluated (Rn) |
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Space Containing Output (Rm) |
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If x is in domain of f:Rn -> Rm then f(x) is image |
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set of vectors in codomain which are image of something in domain |
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