Question 3 Suppose G is a group, H is a subgroup, and a € G. Show |H| = |aH|. (Hint: build a bijection from H to aH.)

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A: Steps are explained in the image:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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A: solution to the given question is like this;first find eigen values and check they are real distinct…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1: Step 2: NOTE : FIRST PAGE IS THE INTEGRAL B AND SECOND PAGE INTEGRAL A Step 3: Step 4:

Q: Use the Integral Test to determine whether the series is convergent or divergent. ∞ Σne" n=1

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Q: Practice

A: The objective of this question is to express the given vectors in the form ai + bj. Here, 'a' and…

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A: Approach to solving the question: Detailed explanation:Examples: Key references:

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A: Step 1: Step 2: Step 3:

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A: Include this to make the answer more clear. Let's examine the procedures for determining the inverse…

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Q: Follow the graph to answer the question.

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A: Please comment down for any doubt. I hope my answer helps you.

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A: Step 1: Step 2: Step 3: Step 4:

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A: # if you have any questions or queries please feel free to ask me.

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A: thank you for this question

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A: Steps and explanations are as follows;In case of any doubt, please let me know. Thank you.

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Q: Test the series below for convergence using the Ratio Test. n= n72n 5n-1 The limit of the ratio test…

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Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: Practice

A: Thanks for your patience!Kindly comment if any clarifications required.