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Linear Algebra: Help Solving a Matrix Equation?
If you have a question that asks:
Solve this matrix equation:
[# #] X = [# # # #]
[# #] [# # # #]
(Where the # signs are actual integers)
how would I go about solving that equation? Supposedly the answer is actually another matrix. Thanks.
3 Answers
- Anonymous1 decade agoFavorite Answer
Well I would take the inverse of the first matrix, the 2x2 one, and then multiply it by the matrix on the right hand side.
If AX=B
Then X = inv(A) times B
- dattaLv 44 years ago
no longer between the above explanation: -x+y=-5 2x+y=-8 you will would prefer to subtract the two equations from one yet yet another to do away with a variable, subsequently, the y. you would be left with... -3x=3 Divide via using 3... -x=a million x=-a million then you replace the x interior the 1st equation with -a million... -(-a million)+y=-5 a million+y=-5 Transpose... y=-5-a million y=-6 So, interior the words of (x.y), the respond is (-a million,-6) or no longer between the above.
- sssshLv 51 decade ago
[ 2 5] [x] = [ 15]
[1 -1] [y] [4]
(coefficient m)*(variable m) =(constant m)
A * v = B
v = A^(-1) * B
then v = [5]
[1]
which means x = 5 and y = 1