retagged by
586 views
1 votes
1 votes
Consider a matrix:  

  $A =$ $\begin{bmatrix} 6 & 10\\ -2&-3 \end{bmatrix}$

 The trace of $A^{10}$ is ______.
retagged by

1 Answer

Best answer
7 votes
7 votes

On solving - 

Eigen Values of A are 1 and 2.

Thus eigen values of $A^{10}$ are $1^{10}$ and $2^{10} = 1$ and $1024$.

We know trace of a matrix = sum of eigen values $= 1+1024 = 1025$

https://gatecse.in/wp-content/uploads/2015/07/evalue-magic-tricks-handout.pdf

selected by
Answer:

Related questions

5 votes
5 votes
1 answer
2
1 votes
1 votes
2 answers
4
Bikram asked Feb 9, 2017
499 views
In a hospital $’X’$ births occur randomly at an average rate of $1.8$ births per hour.The probability that we observe $5$ births in a given interval of $2$ hours is _...