basic rule in matrix
Just want to know the reason behind the highlighted step ..
Like if the squaring is there so why isn't it
P^-2A^2P^2 ?
18 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.(P^-1AP)^2
= (P^-1AP)(P^-1AP)
=(P^-1A^2P)
The P outside bracket in the first highlight seems like a typo
Oh yes
Could you please elaborate this step like why only ...A^2.. not P^-2A^2P^2 ?
(AB)^2 = ABAB and not A^2B^2
Matrix multiplication is not commutative
yes friend
just remove the brackets now
P will be multiplied with P^-1, i.e. identity matrix
hence A will be multiplied by A, A^2
P^-1 on the left and P on the right remain as is
just like Bs are not multiplied together
P and P-1 wont be
you’re not allowed to move anything
So AA = A^2
But (AB)^2= ABAB
Is this correct ?
yes correct
Okay 👍
that’s how you multiply
Please check this one@πrate
Okay ..
Understood
@πrate
+ solved @πrate
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