Available online
Description
This programme shows how matrix calculations can be useful in solving a geometric problem.
This programme shows how matrix calculations can be useful in solving a geometric problem.
| Module code and title: | M101, Mathematics: a foundation course |
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| Item code: | M101; 17; 1985 |
| Recording date: | 29-03-1984 |
| First transmission date: | 30-06-1985 |
| Published: | 1985 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:45 |
| + Show more... | |
| Producer: | Andrew Barker |
| Contributors: | Mike Crampin; Bob Margolis |
| Publisher: | BBC Open University |
| Keyword(s): | Area of triangle; Geometric transformations; Matrices; Rotation; Translation |
| Footage description: | The programme shows how some geometric transformations such as translation and rotation can be reduced to a series of algebraic calculations using 2 x. 2 matrices. It begins by considering a problem of finding the area of a triangle given the co-ordinates of the vertices. The area can easily be found if the triangle is moved to a convenient position, provided we can find the co-ordinates of the transformed vertices. The matrix form of the transformation is then set up. An animation shows how the vertices of the triangle are moved under the transformation and the area is then calculated. The programme then considers whether the shape of the triangle is accurately retained under the matrix transformation. All the points on the straight line connecting two of the vertices are shown to transform into the straight line connecting the transformed vertices. Finally the conclusion is made that the matrix transformations of translation and rotation accurately model their geometric counterparts. |
| Master spool number: | HOU4531 |
| Production number: | FOUM198Y |
| Videofinder number: | 2473 |
| Available to public: | no |
