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2 4 -2 Here are three vectors: vị = V2 3 3 O Determine their linear dependence; if they are linearly dependent, give a linear combination.

2 4 -2 Here are three vectors: vị = V2 3 3 O Determine their linear dependence; if they are linearly dependent, give a linear combination.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2 4 Here are three vectors: v = 4 v2 V3 = 3 3 1) Determine their linear dependence; if they are linearly dependent, give a linear combination. 2) Consider three random variables. Each vector is a collection of the realized values for each random variable. Calculate the variance-covariance matrix for these three random variables first, and then calculate the matrix determinant. [Hint: the sample variance of random variable X is S = r, the sample covariance of X and Y is n-1 Sxy = -x)V-9), n-1 2.
Transcribed Image Text:2 4 Here are three vectors: v = 4 v2 V3 = 3 3 1) Determine their linear dependence; if they are linearly dependent, give a linear combination. 2) Consider three random variables. Each vector is a collection of the realized values for each random variable. Calculate the variance-covariance matrix for these three random variables first, and then calculate the matrix determinant. [Hint: the sample variance of random variable X is S = r, the sample covariance of X and Y is n-1 Sxy = -x)V-9), n-1 2.
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