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Results tagged with linear-algebra
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user 62193
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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votes
Accepted
Multivariate random variable problem
Denote $X = (X_1, ...,X_{10})$ and $t =(t_1,...,t_{10})$. From $\mathbb{E}[XX^T] = 5I_{10}$ and $||t|| = 5$ we have:
$$\mathbb{E}(X_iX_j)=5\cdot\mathbf{1}_{\{i=j \}}$$
$$\sum_{i=1}^{10} t_i^2 = 25$$
T …
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