🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
Algebra
2
answers
0
watching
13
views
16 Nov 2019

For matrix, why does (AB)^k=B^kA^k when AB=BA?

Watch
2
answers
0
watching
13
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Get unlimited access
Already have an account? Log in
Share
Deanna Hettinger
Deanna HettingerLv2
8 Jun 2019
Get unlimited access
Already have an account? Log in
Share

Related questions


Show transcribed image text
"A" is 2x2 matrix, ((a,b),(c,d)).

When 2x2 matrix "B" exists such that AB-BA=A, then prove (part 1) and (part2).

Part 1 : a+d=0
Part 2 : AA=0

1. Find a 2x2 matrix A with no entry =0 that has A^2=0


2. Find a 2x2 matrices A,B with (AB)^t does not equal A^tB^t


3. Let A and B be nxn and upper triangular. Then AB is upperTriangular


4. Find square matrices A and B so that the diagonal of AB hasno entries in common with the diagonal of BA

Weekly leaderboard

Home
Homework Help 3,900,000
Algebra 190,000
Start filling in the gaps now
Log in