Matrices and Determinants – Assignment # 1

Practice Problems: Perform the following matrix operations and provide detailed solutions.

• 1. Add the matrices A=(1324)A = \begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}A=(12​34​) and B=(5768)B = \begin{pmatrix} 5 & 7 \\ 6 & 8 \end{pmatrix}B=(56​78​).
  2. Multiply the matrices A=(2013)A = \begin{pmatrix} 2 & 0 \\ 1 & 3 \end{pmatrix}A=(21​03​) and B=(1432)B = \begin{pmatrix} 1 & 4 \\ 3 & 2 \end{pmatrix}B=(13​42​).
  3. Find the determinant of the matrix C=(4567)C = \begin{pmatrix} 4 & 5 \\ 6 & 7 \end{pmatrix}C=(46​57​).

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