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 |

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 |

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) (Show Source): You can put this solution on YOUR website!
.


    d(A,B) = .


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.

RELATED QUESTIONS
Let vector space M22 have the inner product defined as tr(U^T V ). Find ∥A∥ Where A= (answered by ikleyn)

Let vector space M22 have the inner product defined as tr(U^T V ). Find the angle... (answered by ikleyn)

Let M22 have the inner product ⟨A, B⟩ = tr(A^T B). Describe the orthogonal complement (answered by ikleyn)

A) Find the inner product of a and b if a = <4, 5/4, -1/3> and b = < 1/2, -2, -3/2>, and... (answered by nyc_function)

Let vector space P2 have an inner product defined as ⟨p, q⟩ = ∫[-1 to 1]... (answered by ikleyn)

Here T defined by .Find a vector �x� whose image under T is b, and determines whether x (answered by jim_thompson5910)

A sample space contains 7 sample points or outcomes. Let events and be defined... (answered by ikleyn,greenestamps,mccravyedwin)

Define the function ⟨A, B⟩ = a11b11 + a12b21 + a21b12 + a22b22 on the vector space... (answered by ikleyn)

find the inner product of vector a and b if... (answered by ikleyn)