14-240/Tutorial-November11: Difference between revisions

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Recall:
Recall:


Let <math>V</math> be a finite dimensional vector space over a field <math>F</math>. Let <math>B = {v_1, v_2, v_3, ..., v_n}</math> be an ordered basis of <math>V</math> and <math>v \in V</math>. Then <math>v = \displaystyle\sum_{i=1}^{n} c_iv_i</math> where <math>c_i \in F</math>. Then the '''coordinate representation''' of <math>v</math> is defined by <math>[v]_B = [c_1, c_2, c_3, ..., c_n]</math>.
Let <math>V</math> be a finite dimensional vector space over a field <math>F</math>. Let <math>B = {v_1, v_2, v_3, ..., v_n}</math> be an ordered basis of <math>V</math> and <math>v \in V</math>. Then <math>v = \displaystyle\sum_{i=1}^{n} c_iv_i</math> where <math>c_i \in F</math>. Then the '''coordinate representation''' of <math>v</math> is defined by <math>[v]_B = </math>.

Revision as of 18:26, 29 November 2014

Boris

Coordinate and Matrix Representation Problems

Recall:

Let be a finite dimensional vector space over a field . Let be an ordered basis of and . Then where . Then the coordinate representation of is defined by .