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Let Z1=0.8X1+0.6X2 and Z2=−0.6X1+0.8X2 be the first and second principal components with corresponding eigenvalues λ1=3.82 and...

Let Z1=0.8X1+0.6X2 and Z2=−0.6X1+0.8X2 be the first and second principal components with corresponding eigenvalues λ1=3.82 and λ2=0.18. Then, cov(X1,3Z2)=0.76

true or false?

Math   Statistics-And-Probability   
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Let Z1=0.8X1+0.6X2 and Z2=−0.6X1+0.8X2 be the first and second principal components with corresponding eigenvalues λ1=3.82 and...
Let Z1=0.8X1+0.6X2 and Z2=−0.6X1+0.8X2 be the first and second principal components with corresponding eigenvalues λ1=3.82 and λ2=0.18. Then, var(Z1−3Z2)=5.44 true or false??
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