Enter the smallest subgroup of M₂ (R)* containing the matrix -5 -3 (7²3). 4 a as a set. See formatting instructions below.
Enter the smallest subgroup of M₂ (R)* containing the matrix -5 -3 (7²3). 4 a as a set. See formatting instructions below.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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answer just the second half of the question
Transcribed Image Text:Let (G, 0) be a group and x € G. Suppose H is a subgroup of G that contains x. Which of the following must H also contain?
All elements x ◊ y for y = G
✔x*, the inverse of x
✔The identity element e of G
✔All "powers" x 0x, x0x 0x, ...
Enter the smallest subgroup of M₂ (R)* containing the matrix
(3)
, as a set. See formatting instructions below.
7
4
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