Yairethbco5205 Yairethbco5205
  • 08-11-2021
  • Mathematics
contestada

Let A and B be n×n matrices. Determine whether |A + AB| = |A + BA|.

Respuesta :

LammettHash
LammettHash LammettHash
  • 08-11-2021

Yes, they're equal.

det(A + AB) = det(AI + AB) = det(A (I + B)) = det(A) det(I + B)

and

det(A + BA) = det(IA + BA) = det((I + B) A) = det(I + B) det(A)

which are the same.

Answer Link

Otras preguntas

What kind of fund collects and invests income for later payments to eligible recipients?
Daniel stared at the photograph of the Australian outback, dreaming of the day when he would see it for himself. He had almost enough money saved for a plane ti
What trade does gulliver learn as an apprentice? gulliver's travels?
How can the use of mrp contribute to productivity?
How did geography of greece affect greek history? who was homer, and why was his work used as the basis for greek education?
Help me answer this please
Gino used 3/4 of the nails in a box. He has 16 nails left. How many did he use?
Ccording to self-discrepancy theory, when there is a big difference between our "actual" self-concept and our "ought" self-concept,
Mis padres __________ en la sala. ( 2 points) Question 6 options: 1) estoy 2) están 3) estamos 4) estáis
Drag the correct symbol into the box to compare the expressions. 8+7–22 3² + 2