wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let A and B be any two square matrices such that AB=BA, then by mathematical induction (AB)n=AnBn is true for

A
all nR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
all nN
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
all nZ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
all nQ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B all nN
AB and BA are equal
communicative property is true
(AB)n=AnBn
Matrice to the power fractions integers, complex number are not defined.
R1 and z are eliminated
Answer is option B
all nϵN

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Mathematical Induction
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon