Question 2: Let A(G) be the set of all automorphisms of a group G. Prove that if G is a group having only two elements, then A(G) consists only of I. JL

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Q: Find the determinants of the following matrix:

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A: Answered in the explanation below.

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A: Proof)

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Q: Pls help on all asked questions. Pls show all work and steps. Pls circle the final answer.

A: We are asked to prove the trigonometric identity:sin(2x)=csc2(x)2cot(x)​We'll start by working with…

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A: Step 1: MatricesGiven matrices are:A=⎣⎢⎡​03−8​25−16​13−9​⎦⎥⎤​,B=⎣⎢⎡​−100​0−3−1​020​⎦⎥⎤​. Step 2:…

Q: Pls help on all asked questions. Pls show all work and steps. Pls circle the final answer.

A: Answer : 7 ​   Answer : 8 ​As we got the answer by checking just the first option. But I have…