SOLUTION: <pre>How do you solve these matrices equations? 1. -3x +[7 0 -1] = [10 0 8] [2 -3 4] [-19 -18 10] 2. -3y + 2[6 9] = [27 -18] [-12

Algebra ->  Matrices-and-determiminant -> SOLUTION: <pre>How do you solve these matrices equations? 1. -3x +[7 0 -1] = [10 0 8] [2 -3 4] [-19 -18 10] 2. -3y + 2[6 9] = [27 -18] [-12       Log On


   



Question 899095:
How do you solve these matrices equations? 

1. -3x +[7  0  -1] = [10     0   8]
        [2 -3   4]   [-19  -18  10]


2. -3y + 2[6     9] = [27    -18]
          [-12  15]   [30      6]


3.  3[2   0]-2x =[-10     5]
     [-1  5]     [0      17]


4. 5x -[1.5    -3.6] = [0.2    1.3]
       [-0.3    2.8]   [-5.6   1.7]


Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve these matrices equations?
I'll just do one.  It's just like solving ordinary equations, except 
you do the operations to all the elements or to corresponding elements:

I'll go through every step, but you'll be able to do some of the
steps in your head.

  -3x%2B%28matrix%282%2C3%2C7%2C0%2C-1%2C2%2C-3%2C4%29%29%22%22=%22%22%28matrix%282%2C3%2C10%2C0%2C8%2C-19%2C-18%2C10%29%29

Subtract the matrix on the left from both sides:

             -3x%22%22=%22%22

Subtract the matrices by subtracting corresponding elements

          -3x%22%22=%22%22%28matrix%282%2C3%2C10-7%2C0-0%2C8-%28-1%29%2C-19-2%2C-18-%28-3%29%2C10-4%29%29 

          -3x%22%22=%22%22%28matrix%282%2C3%2C3%2C0%2C8%2B1%2C-21%2C-18%2B3%2C6%29%29 

          -3x%22%22=%22%22%28matrix%282%2C3%2C3%2C0%2C9%2C-21%2C-15%2C6%29%29

Divide both sides by -3 by dividing every element by -3

         %28-3x%29%2F%28-3%29%22%22=%22%22

             x%22%22=%22%22%28matrix%282%2C3%2C-1%2C0%2C-3%2C7%2C5%2C-2%29%29

Edwin