Inverse & Transpose Matrix related problem

M

mrkmt

New member
Joined
Oct 5, 2020
Messages
2
Hi, guys.

I've been working stuck on this issue for a while and I have no idea how to start it.

Given,
Code: 
B = [1   2
     -2  1]

Find A, such that BT(A-1BBT)-1A-2 = I, where I is the identity matrix of order 2.

I started with using some matrix properties:

BT(A-1)-1 B-1(BT)-1 A-2 = I
BTA B-1(BT)-1 A-2 = I

It seems I have nowhere to go from here. I don't know how to get rid of that BT.


Any hints?


Thanks
 
mrkmt said:
Hi, guys.

I've been working stuck on this issue for a while and I have no idea how to start it.

Given,
Code: 
B = [1   2
     -2  1]

Find A, such that BT(A-1BBT)-1A-2 = I, where I is the identity matrix of order 2.

I started with using some matrix properties:

BT(A-1)-1 B-1(BT)-1 A-2 = I
BTA B-1(BT)-1 A-2 = I

It seems I have nowhere to go from here. I don't know how to get rid of that BT.


Any hints?


Thanks
Click to expand...
\(\displaystyle \text B*B^T \ = \ 5 * I\)

Does that simplify things?
 
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