if A=(6 10 100
7 1 0
0 9 10 ) then Tr(AT )=
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Answer:
Correct option is
B
17
We know that the matrices A and A
T
have same diagonal elements;
For example: [
5
2
6
3
] has transpose [
5
6
2
3
] both have same diagonal elements.
Hence the result holds:
TrA=TrA
T
( ∵ diagonal elements remain the same for a matrix and its transpose)
∴TrA
T
=
i=1
∑
n
a
ii
∴TrA
T
=6+1+10
=17.
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