# Linear Algebra: Important Definitions and Results

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Name | Linear Algebra: Important Definitions and Results |
---|---|

Author | Mr. Akhtar Abbas |

Pages | 22 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 560 kB |

### Contents & Summary

- If a vector space $V$ has a basis with $n$ elements, then $n$ is called dimension of $V$.
- If $W$ is a subspace of $V$, then dim(W) = dim(V).
- The span of column of a matrix $A$ is called column space of $A$.
- The span of rows of a matrix $A$ is called row space of $A$.
- If $T:V\to W$ is linear transformation, then $K(T)$, kernel of $T$, is subspace of $V$.
- If $T:V\to W$ is linear transformation, then $R(T)$, range of $T$, is subspace of $W$.

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