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MMLU-Pro / 8305 / Assuming x and y are both 2-d random variable. The covariance matrix of…

Problem

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question

Assuming xx and yy are both 2-d random variable. The covariance matrix of x=((1,2),(2,3),(3,3),(4,4))x=((1,2),(2,3),(3,3),(4,4)), y=((3,4),(1,5),(5,3),(3,3))y=((3,4),(1,5),(5,3),(3,3)) is CovCov. What is summation of the eigenvalue of CovCov?
Plain-text mathematical notation (without MathML)
Assuming x and y are both 2-d random variable. The covariance matrix of x=((1,2),(2,3),(3,3),(4,4)), y=((3,4),(1,5),(5,3),(3,3)) is Cov. What is summation of the eigenvalue of Cov?
Original LaTeX notation
Assuming $x$ and $y$ are both 2-d random variable. The covariance matrix of $x=((1,2),(2,3),(3,3),(4,4))$, $y=((3,4),(1,5),(5,3),(3,3))$ is $Cov$. What is summation of the eigenvalue of $Cov$?

category

math

options

  1. 3.654
  2. 7.890
  3. 1.234
  4. 0.987
  5. 5.321
  6. 3.141
  7. 1.618
  8. 4.890
  9. 6.213
  10. 2.767

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8305
task_id
f3b8c0d8-12dd-525d-a559-d257a1175ddf
task_key
default--test--8305
task_revision_id
1
config / split
default / test

Official source

initial import