Algebra problem! (matrices)

label Algebra
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X + Y - Z = - 2

3X - Y + Z  = 2

-X + 4Y - 3Z = 1 

So what is the solution set {( _ , _ , _)}

Jun 29th, 2015

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!
Jun 29th, 2015

Thank you! I posted another one that hasn't been taken yet if you would like to help me solve that one also..

Jun 29th, 2015

lemme see


Jun 29th, 2015

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