Thank you for the opportunity to help you with your question!

Here A= { 1,1,-1; 3,-1,1; -1,4 ,-3} and B= { -2,2,1}.

To find the solution set we will use the formula A . X = B where X= { X,Y,Z}

X= A inverse .B

Find the determinant of A as 1/4 and

A inverse = {1/4,1/4,0; -2,1,1; -11/4,5/4,1}

As we know that X= A inverse . B= {1/4,1/4,0; -2,1,1; -11/4, 5/4,1}{-2,2,1}= {0,7,9}

So, X= {0,7,9} where X= 0 Y= 7 Z= 9

Please let me know if you need any clarification. I'm always happy to answer your questions. Also kindly provide an apt feedback for my service.
Have a nice day!