SOLUTION: Let vector space M22 have the inner product defined as tr(UTV). Find d(A,B) where A= | 2 6 | | 9 4 | and B= | -4 7 | | 1 6 |

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let vector space M22 have the inner product defined as tr(UTV). Find d(A,B) where A= | 2 6 | | 9 4 | and B= | -4 7 | | 1 6 |       Log On


   

Question 1167652: Let vector space M22 have the inner product defined as tr(UTV). Find d(A,B) where
A=
| 2 6 |
| 9 4 |
and B=
| -4 7 |
| 1 6 |
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

    d(A,B) = sqrt%28%282-%28-4%29%29%5E2+%2B+%286-7%29%5E2+%2B+%289-1%29%5E2+%2B+%284-6%29%5E2%29.


First, you take the difference of the matrices.


Then you take the sum of squares of all the elements of the difference matrix.


Then you take the square root of it.


Then you use your calculator.