CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If AB = A and BA = B, where A and B are square matrices, then
(a) B2 = B and A2 = A
(b) B2 ≠ B and A2 = A
(c) A2 ≠ A, B2 = B
(d) A2 ≠ A, B2 ≠ B

Open in App
Solution

(a) B2 = B and A2 = A

Here, AB=A ...1 BA=B ...2ABA=AA Multiplying both sides by A BAB=BB Multiplying both sides by AAB=A2 From eq. 2 BA=B2 From eq. 1A=A2 From eq. 1 B=B2 From eq. 2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Transpose of a Matrix
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon