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  1. Home
  2. 12th grade
  3. Algebra I
  4. Exercise : Multiply two matrices

Multiply two matrices Algebra I

Calculate the following matrix products.

\begin{pmatrix} 11 & 12 & 13 \cr\cr 21 & 22 & 23 \end{pmatrix}\times\begin{pmatrix} 11 \cr\cr 21 \cr\cr 31 \end{pmatrix}

\begin {pmatrix} 1 & 3& 2 \cr \cr 1 & 1 & 5 \end {pmatrix} \times \begin {pmatrix} 2 \cr \cr 2 \cr \cr 3 \end {pmatrix}

\begin {pmatrix} 5& 4& 1 \cr \cr 7 & 2 & 1 \end {pmatrix} \times \begin {pmatrix} 1 \cr \cr 2 \cr \cr 1 \end {pmatrix}

\begin{pmatrix} 2 & 5 \cr 1 & 6\end{pmatrix}\times \begin{pmatrix} 6 \cr 3 \end{pmatrix}

\begin{pmatrix} 1 & 4 \cr 2 & 7\end{pmatrix}\times \begin{pmatrix} 3 & 2 \cr 3 & 1 \end{pmatrix}

\begin{pmatrix} 2 & 3 \cr 4 & 1\end{pmatrix}\times \begin{pmatrix} 1 & 4 \cr -1 & -2 \end{pmatrix}

\begin{pmatrix} 1 & 2 \cr 7 & 11\end{pmatrix}\times \begin{pmatrix} 11 & -4 \cr -1 & 2 \end{pmatrix}

See also
  • Course : Introduction to matrices
  • Exercise : Calculate expressions of the form c.A+B
  • 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
  • Exercise : Write a graph from its vertex matrix
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