Recent questions in Post Secondary

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qtbabe9876a9
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Can someone help me to expand the below equation for $N=2$ and $N=3$?

${f}_{i}=\sum \{{e}_{i}:j\le i\le k\}$ for some $1\le j\le k\le N$.

Here ${e}_{i}$ is the unit vector of coordinate i in an N-dimensional space.

Alani Conner
2022-05-22
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${R}_{1},{R}_{2},{R}_{3},{B}_{1},{B}_{2},{B}_{3},{Y}_{1},{Y}_{2},{Y}_{3}$

where R, B and Y denote red, blue and yellow, respectively. Find the probability that everyone gets a red card.

rs450nigglix2
2022-05-22
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When performing a householder transformation and generating an elementary reflector matrix of the form:

$H=I-2{\displaystyle \frac{v{v}^{T}}{{v}^{T}v}}$

How do we know the dimensions of the identity matrix?

qtbabe9876a9
2022-05-22
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