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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
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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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
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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