SOLUTION: solve the matrix equation x+[218] =[6 -1 8] [430] [-5 2 -7]

Algebra.Com
Question 119196: solve the matrix equation
x+[218] =[6 -1 8]
[430] [-5 2 -7]

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given matrix equation


x+[2 1 8] =[6 -1 8]
  [4 3 0]  [-5 2 -7]




Subtract the matrix
[2 1 8]
[4 3 0]
from both sides



x =[6 -1 8]-[2 1 8]
   [-5 2 -7][4 3 0]




Combine the matrices


x =[6-2 -1-1 8-8]
   [-5-4 2-3 -7-0]




Subtract



x =[4  -2  0]
   [-9 -1 -7]





--------------------
Answer:

So the matrix X is



x =[4  -2  0]
   [-9 -1 -7]



RELATED QUESTIONS

Solve the matrix equation X- [2 -8] = [4 -6] [-4 2] [2... (answered by ikleyn)
Refer to Matrix B and identify the matrix element b14 . -1 2 5 0 -5 0 9 7 B= (answered by ikleyn)
Solve the matrix equation B-X=3A for X if A=[3 -6] and B=[3 -6] [4... (answered by Fombitz)
How do you solve this matrix equation? [-7 -9] X [3 4] = [1 9] [4 5] + [4 (answered by stanbon,jim_thompson5910)
solve the matrix equation. [4 -7]over[1 8]-x=[-9 4]over[-1 5]. answers given are -13 11,... (answered by Fombitz,morenike)
Consider the following invertible matrix A, and vector B. A  =  2 4 4 3... (answered by ikleyn)
find the inverse of matrix. 1. {{{(matrix(2,2,2, -1, 10, 7))}}} 2.... (answered by Edwin McCravy)
solve the matrix equation AX=B for the 2x2 matrix X: A 2 -7 -1 4 ] x= B -21... (answered by Fombitz)
without using cocept of inverse of a matrix , solve the following matrix equation: 5 4... (answered by Fombitz)