Binary, Permutation, and Communication Matrices (VCE SSCE General Mathematics): Quizzes

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Binary, Permutation, and Communication Matrices
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What values can appear in a binary matrix?

Only 00 and 11

Which application uses binary matrices?

Analyzing communication networks

What shape must a permutation matrix have?

Square (same rows and columns)

In a permutation matrix, how many 11s are in each row?

Exactly one

What does the word 'permutation' mean?

Rearrangement

Is the identity matrix a permutation matrix?

Yes, it's a special permutation matrix

For a permutation matrix PP, what is P1P^{-1} equal to?

PTP^T (the transpose)

In a communication matrix, what does a 11 represent?

A direct link between two people

How do you find two-step communication links?

Calculate C2C^2 (square the matrix)

What do diagonal elements in a communication matrix represent?

Redundant links (sender = receiver)

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