======Linear Algebra: Important Definitions and Results======
{{ :notes:linear-algebra-definitions-and-results-akhtar-abbas.jpg?nolink|Linear Algebra: Important Definitions and Results}}
These notes are made and shared by Mr. [[:people:akhtar]]. We are really very thankful to him for providing these notes and appreciates his efforts to publish these notes on MathCity.org. These notes contains important definitions with examples and related theorem, which might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.

^ 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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