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Post-Reading activity
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Ex. 4. Answer the following questions:
1. What is a matrix?
2. Do matrices have a numerical value?
3. An orthogonal matrix is the real specialization of a unitary matrix, isn’t it?
4. What types of matrices do you know?
5. What is an orthogonal group?
6. Do orthogonal matrices arise from inner products or from matrices of complex numbers?
7. What is a finite – dimensional isometry?
8. What does a linear algebra include?
9. The inverse of every orthogonal matrix is again orthogonal, isn’t it?
10. What produces an orthogonal matrix?
11. Do the orthogonal matrices whose determinant is +1 form the special orthogonal group SO (n) of rotations or do they form the orthogonal group O(n)?
12. What reasons are orthogonal matrices important for?
Ex. 5. Match the English words and word combinations with their Russian equivalents.
| 1. both theoretical and practical 2. preserve inner product 3. matrices arise from 4. finite-dimensional linear isometries 5. bring any orthogonal matrix to the identity 6. orthogonal unit vectors 7. with respect to the basis 8. include the identity 9. the converse is also true | a. противоположное также верно b. привести любую ортогональную матрицу к тождеству c. ортогональные единичный векторы d. матрицы возникают из e. как теоретический, так и практический f. сохранять внутреннее произведение g. по отношению к базису h. конечномерные линейные изометрии i. включать тождество |
Ex. 6. Define the following statements as True or False. Use the introductory phrases:
I think it’s right. I am afraid it is wrong.
Quite so. Absolutely correct. I don’t quite agree to it.
Дата публикования: 2015-02-28; Прочитано: 300 | Нарушение авторского права страницы | Мы поможем в написании вашей работы!
