SOLUTION: without using cocept of inverse of a matrix , solve the following matrix equation:
5 4 x=1 -2
1 1 1 3
where x is a 2×2 matrix.
Algebra ->
Matrices-and-determiminant
-> SOLUTION: without using cocept of inverse of a matrix , solve the following matrix equation:
5 4 x=1 -2
1 1 1 3
where x is a 2×2 matrix.
Log On
Question 923156: without using cocept of inverse of a matrix , solve the following matrix equation:
5 4 x=1 -2
1 1 1 3
where x is a 2×2 matrix. Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Let
Then,
Looking at each element,
1.
2.
3.
4.
From eq. 3,
From eq. 4,
Substitute in eq. 1 and 2,
Then,
.
.
Then,
So then,