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  1. Home
  2. 12th grade
  3. Algebra I
  4. Exercise : Write a graph from its vertex matrix

Write a graph from its vertex matrix Algebra I

Find the graph that matches the following vertex matrix.

\begin{pmatrix} 0 & 1 & 1 & 1 \cr\cr 0 & 0 & 1 & 0 \cr\cr 1 & 0 & 0 & 1 \cr\cr 1 & 1 & 1 & 0 \end{pmatrix}

\begin{pmatrix} 0 & 1 & 1 & 1 \cr\cr 1 & 0 & 1 & 1 \cr\cr 1 & 1 & 0 & 1 \cr\cr 1 & 1 & 1 & 0 \end{pmatrix}

\begin{pmatrix} 0 & 0 & 0 & 0 \cr\cr 0 & 0 & 0 & 0 \cr\cr 0 & 0 & 0 & 0 \cr\cr 0 & 1 & 1 & 0 \end{pmatrix}

\begin{pmatrix} 0 & 1 & 1 & 1 &1 &0 \cr\cr 0 & 0 & 1 & 0 &1 &1 \cr\cr 1 & 0 & 0 & 1&0&0 \cr\cr 1 & 1 & 1 & 0 &0&0 \cr \cr 1&1&1&0&0&0 \cr \cr 1&1&1&0&0&0\end{pmatrix}

\begin{pmatrix} 0 & 0 & 0 & 0 &0 &0 \cr\cr 0 & 0 & 0 & 0 &0 & 0\cr\cr 0 & 0 & 0 & 0&0&0 \cr\cr 0 & 0 & 0 & 0 &0&0 \cr \cr 0&1&0&0&0&0 \cr \cr 0&0&1&0&0&0\end{pmatrix}

\begin{pmatrix} 0 & 1 & 1 \cr\cr 1 & 0 & 1 \cr\cr 1 & 1 & 0 \end{pmatrix}

\begin{pmatrix} 0 & 1 \cr\cr 1 & 0 \end{pmatrix}

See also
  • Course : Introduction to matrices
  • Exercise : Calculate expressions of the form c.A+B
  • Exercise : Multiply two matrices
  • Exercise : Calculate the coordinates of a transformed matrix
  • Exercise : Find the matrix that represents a certain transformation
  • Exercise : Find the vertex matrix of a graph
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