Question 1172354
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            I will help you with part (c).



Go to web-site  https://www.calculator.net/matrix-calculator.html


There is very convenient matrix calculator there,  free of charge.


Input your matrix there and assign the calculator to raise it to the degree  5.


You will get the answer in seconds.


Having the matrix raised to degree  5,  calculate the trace.



<H3>In the future, &nbsp;do not pack more than one problem per post.</H3>


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Hello, &nbsp;&nbsp;every question, &nbsp;packed in your post, &nbsp;requires explanations like a separate chapter in a textbook.



When I see so many questions, &nbsp;packed randomly in one post, &nbsp;I start thinking


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;whether the time just came to open a Psychic clinic at this forum ?