Knowee
Questions
Features
Study Tools

Prove that follo ing set forms a group under multiplioation.[1 00 0] , [-1 00 1] , [1 00 -1] , [-1 00 -1]}

Question

Prove that follo ing set forms a group under multiplioation.[1 00 0] , [-1 00 1] , [1 00 -1] , [-1 00 -1]}
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To prove that a set forms a group under a certain operation, we need to show that it satisfies the four group axioms: closure, associativity, identity, and invertibility.

  1. Closure: For any two elements in the set, their product (under the operation) is also in the set.

  2. Associativity: For any Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI

This problem has been solved

Similar Questions

Let 𝐺 = [𝑎 00 0] : 𝑎 𝑖𝑠 𝑎 𝑛𝑜𝑛 − 𝑧𝑒𝑟𝑜 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 } . hho that 𝐺 is a oommutativegroup under multiplioation

Is the set 1,2,3,4,5,7} a group under addition modulo 7.(b) Is the above set a group under multiplioation modulo 7.

Consider𝐴 =[2 0 00 2 00 0 20 00 00 02220 0 00 0 01 00 1001 1 1 0 0 1]Find 𝐴2 by using partitioned matrices approach

Are the two matrices similar? If so, find a matrix P such that B = P−1AP. (If not possible, enter IMPOSSIBLE.)A = 2 0 0 0 1 00 0 3 B = 1 0 0 0 2 00 0 3

Let 𝑄∗ be the set of non-zero rational numbers and * be the binary operation on Q definedby 𝑎 ∗ 𝑏 = 𝑎𝑏/3. Prove that 𝑄∗ is group under *.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.