Define Matrices D and A: Define the matrices D and A.Matrix D is a 3×1 matrix and matrix A is a 1×2 matrix. The matrices are given as:D=[234]A=[−2amp;−2]
Check Matrix Multiplication: Determine if matrix multiplication is possible.Matrix multiplication is possible if the number of columns in the first matrix is equal to the number of rows in the second matrix. Since D is a 3×1 matrix and A is a 1×2 matrix, the multiplication is possible.
Perform Matrix Multiplication: Perform the matrix multiplication.To multiply D by A, we take each element of D and multiply it by each element of A, since A only has one row. The resulting matrix H will be a 3×2 matrix.H = [[2 \times -2, 2 \times -2],\(\newline [3 \times -2, 3 \times -2], [4 \times -2, 4 \times -2]]\)
Calculate Resulting Matrix H: Calculate the entries of the resulting matrix H.H = \begin{bmatrix}-4 & -4\-6 & -6\-8 & -8\end{bmatrix}
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