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.Com
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,


RELATED QUESTIONS

Find the inverse of the following matrix, the inverse exists. A = [2 1 0] [0 (answered by Fombitz)
Find the inverse of the following matrix. A = [2 4] [1... (answered by venugopalramana)
a. Write each linear system as a matrix equation in the form AX=B b. Solve the system... (answered by Edwin McCravy)
Could someone please help? I need to a) write each linear equation as a matrix equation... (answered by stanbon)
find the inverse of the matrix [-3 2 5 -3 ] hence find the matrix satisfying the matrix... (answered by Edwin McCravy)
Solve the matrix equation AX=B for X using A= 2 -3 B=4 1 5 (answered by richwmiller)
Solve the matrix equation AX=B for X using A=2 -3 B=4 1 5 (answered by Fombitz)
Please help me solve this equation: Find the inverse of the following matrices. a, {{{ (answered by Fombitz)
Need to find the inverse of a 3x3 matrix? -2 5 -1 -1 -2 -3 3 -4... (answered by Fombitz)