MAT401
Homework 7
数学线性代数代写 These problems are due on Crowdmark by 6pm on Wednesday, March 16th. The solutions will be discussed in tutorials that week.
Read: Gallian, Chapter 21.
Problems: 数学线性代数代写
These problems are due on Crowdmark by 6pm on Wednesday, March 16th. The solutions will be discussed in tutorials that week.
- Show that
has multiple roots in some extension of Z3. - Let E be the splitting fifield over Q of the polynomial
- Find the minimal polynomial of
over Q. - Suppose that E/F is an extension of fifields and that α ∈ E is transcendental over F. 数学线性代数代写
(i) Show that
(ii) Show that α is algebraic over F(β).
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