SOLUTION: if {{{A=(matrix(2,2,3,2,-4,1))}}} find the values of m and n given that (AA)= mA+nA (A is a matrix of order 2×2)

Algebra ->  Matrices-and-determiminant -> SOLUTION: if {{{A=(matrix(2,2,3,2,-4,1))}}} find the values of m and n given that (AA)= mA+nA (A is a matrix of order 2×2)       Log On


   

Question 366377: if A=%28matrix%282%2C2%2C3%2C2%2C-4%2C1%29%29

find the values of m and n given that (AA)= mA+nA
(A is a matrix of order 2×2)
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

if A=%28matrix%282%2C2%2C3%2C2%2C-4%2C1%29%29

Find the values of m and n given that (AA)= mA+nA
(A is a matrix of order 2×2)
AA = mA + nA
Substituting:






  

   
Setting correponding elements equal:

system%281=3m%2B3n%2C8=2m%2B2n%2C-16=-4m-4n%2C-7=m%2Bn%29

There can be no solution to this system.

Sorry.  Did you copy something wrong?

Edwin