Available online
Description
The programme looks at the expression of transformations as matrices. It is then demonstrated that a dilation in skew directions can be expressed by using a series of matrices, representing a succe...ssion of transformations.
The programme looks at the expression of transformations as matrices. It is then demonstrated that a dilation in skew directions can be expressed by using a series of matrices, representing a succe...ssion of transformations.
| Module code and title: | M101, Mathematics: a foundation course |
|---|---|
| Item code: | M101; 19 |
| First transmission date: | 15-07-1978 |
| Published: | 1978 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:20 |
| + Show more... | |
| Producer: | Jack Koumi |
| Contributors: | Norman Gowar; John Mason |
| Publisher: | BBC Open University |
| Keyword(s): | Cartesian unit grid; Geometric interpretation; Matrix; Models; Transformation of the plane |
| Footage description: | John Mason introduces the programme and sets the problem for the first part of the programme, which transformations can be expressed as a matrix? In order to answer this more clearly Norman Gowar, using geometry examines what happens to those transformations which can be expressed as a matrix. John Mason works through a couple of transformations in order to demonstrate the map reference property of specific matrix transformations. He then goes on to establish this property for a general matrix transformation. Having established this property Norman Gowar looks at a transformation given geometrically, to see if it has a matrix representation. The example he uses being a dilation in skew directions. John Mason shows that the map reference properties hold for this transformation, but that it can only be represented, as a matrix, by using a succession of skew dilations for which matrices are already known. |
| Master spool number: | 6HT/72660 |
| Production number: | 00525_4257 |
| Videofinder number: | 2476 |
| Available to public: | no |
