+0  
 
0
312
4
avatar

3x-2y=4

-6x+4y=7

solve with inversion method

Guest May 5, 2015

Best Answer 

 #3
avatar+18714 
+10

Inverse Matrix Method

Example:

Inverse Matrix Method

Step 1: Rewrite the system using matrix multiplication:

Inverse Matrix Method

and writing the coefficient matrix as A, we have

Inverse Matrix Method example.

Step 2: FInd the inverse of the coefficient matrix A. In this case the inverse is

Solving system of equations

Step 3: Multiply both sides of the equation (that you wrote in step #1) by the matrix A-1.

On the left you'll get

Inverse Matrix Method.

On the right, you get

Inverse Matrix Method solution

and so the solution is

Inverse Matrix Method example

heureka  May 6, 2015
Sort: 

4+0 Answers

 #1
avatar+18714 
+5

3x-2y=4

-6x+4y=7 solve with inversion method

$$\small{\text{
$
A = \begin{pmatrix} 3 & -2 \\ -6 &4 \end{pmatrix} \qquad
det ~ A = \begin{vmatrix} 3& -2 \\ -6& 4 \end{vmatrix}=3 \cdot 4 -(-6)\cdot (-2) = 12 - 12 = 0
$}}$$

det A = 0, no solution

heureka  May 5, 2015
 #2
avatar+91038 
0

I have never heard this called 'inversion method' before.

Is that the common term for matix solutions?

Melody  May 6, 2015
 #3
avatar+18714 
+10
Best Answer

Inverse Matrix Method

Example:

Inverse Matrix Method

Step 1: Rewrite the system using matrix multiplication:

Inverse Matrix Method

and writing the coefficient matrix as A, we have

Inverse Matrix Method example.

Step 2: FInd the inverse of the coefficient matrix A. In this case the inverse is

Solving system of equations

Step 3: Multiply both sides of the equation (that you wrote in step #1) by the matrix A-1.

On the left you'll get

Inverse Matrix Method.

On the right, you get

Inverse Matrix Method solution

and so the solution is

Inverse Matrix Method example

heureka  May 6, 2015
 #4
avatar+91038 
0

Thank you Heureka  

Melody  May 6, 2015

15 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details