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Matrices, GEN1 2025 VCAA 25 MC

Consider the matrix \(G\) where

\begin{align*}
G=\begin{bmatrix}
0 & 1 & 0 \\
1 & 0 & 1 \\
0 & 0 & 0
\end{bmatrix}
\end{align*}

Which one of the following correctly describes matrix \(G\)?

  1. a binary matrix
  2. a permutation matrix
  3. an identity matrix
  4. a diagonal matrix
Show Answers Only

\(A\)

Show Worked Solution

\(\text{Binary matrix – made up of 0’s and 1’s only.}\)

\(\text{Permutation matrix – single 1 in each row and column (not B).}\)

\(\text{Identity matrix – main diagonal of 1’s (not C).}\)

\(\text{Diagonal matrix – all entries not on main diagonal =0 (not D).}\)

\(\Rightarrow A\)

Filed Under: Uncategorized Tagged With: Band 3, smc-616-80-Definitions

MATRICES, FUR1 2020 VCAA 1 MC

The matrix  `[(1, 0, 0), (0, 1, 1), (1, 0, 1)]`  is an example of

  1. a binary matrix.
  2. an identity matrix.
  3. a triangular matrix.
  4. a symmetric matrix.
  5. a permutation matrix.
Show Answers Only

`A`

Show Worked Solution

`text(All elements are 0 or 1 and other definitions)`

`text(don’t apply.)`

`=>  A`

Filed Under: Matrix Calculations Tagged With: Band 3, smc-616-80-Definitions

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