Linear Tansformation

[Elad]

Hello everyone,
i have a problem please help !!

there is with standard inner product and p in V is invertible matrix.

define linear transformation so by for every x in V.

suppose n=2 and and p^2+2I=0.

Find Jordan Matrix and the Minimal polynom. (without find a representative matrix).

thank you very much !!!!!!!!

 

[Deleted member 4993]

Hello everyone,
i have a problem please help !!

there is View attachment 20905 with standard inner product and p in V is invertible matrix.

define linear transformation so View attachment 20907by View attachment 20908 for every x in V.

suppose n=2 and View attachment 20909 and p^2+2I=0.

Find Jordan Matrix and the Minimal polynom. (without find a representative matrix).

thank you very much !!!!!!!!

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this problem.

 

[Elad]

I am sorry i am new here.
finally i succeed this problem.
amazing forum thanks !

 

[Steven G]

That is why new students should read the forum guidelines.