:

We must find the inverse of matrix A in order to solve for x

:

A= [6,5]    

   [4,-2]

:

take terms and  and switch their positions. This is simply switching the elements on the main diagonal 

 

take terms and  and change those numbers to their opposites keeping there positions.



-revised matrix

:now we find the determinant of this matrix

:

product of the main diagonal minus the product of the off diagonal

:



:

we take that result and divide every element in the revised matrix  and the result is our inverse matrix

:



: 

Now we have to multiply each side of the equation AX=B by the matrix A's inverse

On the left hand side we will end up with the indentity matrix multiplied by X which is equal to just X. So 

:

A= [6,5]    B= [18,49]

   [4,-2]      [-20,6]

:

so 

X=*---->

:

=

:

2) I will leave the details and steps of # 2 to you 

:

the answer is  

RELATED QUESTIONS

Consider the following invertible matrix A, and vector B.

A  =  
2	4	4	3... (answered by ikleyn)

if (2)(3)(7) / (5)(6)(7)  = x/y  and  (3)(4)(5) / (6)(7)(8) =  ax/by, what is the value... (answered by Alan3354)

Can someone help with this problem please:

Solve the matrix equation for X.

A =... (answered by Fombitz)

find 2A-B if 
A=
[6  -3]
[1  -2]

B=
[-4  -1]
[2    5]

Answers:
a)
[10  -2]... (answered by Edwin McCravy)

A (3 1 )    B= (6 1     C= (-4 3   D= (4 7    
   5  2        11 3         -5 2      -2... (answered by Fombitz)

Solve the matrix equation B-X=3A for X if
A=[3 -6] and                   B=[3 -6] 
[4... (answered by Fombitz)

1) a=6 b=8 c=? 2) a=? b=12 c=13 3) a=? b=4 c=5 4) 9 21 ? 5) 24 10 ?  6) ? 3 4  (answered by Edwin McCravy,richwmiller)

which of the foloowing is a proportion?... (answered by JBarnum)

Find DE if D=[-2 4 6][5 -7 1]and E=[1 -2][0 4][-3 4]

A. [-20 44][8 -42]
B. [-2 -10][0  (answered by Jk22)