Question - Matrix Multiplication Calculation Result

Solution:

The image shows the handwritten task of calculating the matrix product A * I, where matrix A is a 3x3 matrix with entries:\[ A = \begin{bmatrix} 3 & -5 & 6 \\ 2 & 4 & 2 \\ 7 & 0 & 3 \end{bmatrix} \]and I is the 3x3 identity matrix, which is:\[ I = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix} \]Multiplying any matrix by the identity matrix yields the original matrix. So the product A * I is just the matrix A itself:\[ A * I = A = \begin{bmatrix} 3 & -5 & 6 \\ 2 & 4 & 2 \\ 7 & 0 & 3 \end{bmatrix} \]

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