D=[[4,-1],[2,-1]] and A=[[3,1,0],[2,1,-2]] Let H=DA. Find H. H=

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D=[[4,-1],[2,-1]] and  A=[[3,1,0],[2,1,-2]] Let  H=DA. Find  H.  H=

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Understand matrix multiplication rules: Understand matrix multiplication rules. To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.Verify matrix multiplication possibility: Verify if matrix multiplication is possible. Matrix D is a 2x2 matrix and matrix A is a 2x3 matrix. Since the number of columns in D (2) equals the number of rows in A (2), matrix multiplication is possible.Set up the multiplication: Set up the multiplication. To multiply D by A, we take each row of D and multiply it by each column of A, summing the products to get the entries of the resulting matrix H.Calculate first entry of matrix H: Calculate the first entry of matrix H. Multiply the first row of D by the first column of A and sum the products. H[1,1] = (4 * 3) + (-1 * 2) = 12 - 2 = 10Calculate second entry of first row of matrix H: Calculate the second entry of the first row of matrix H. Multiply the first row of D by the second column of A and sum the products. H[1,2] = (4 * 1) + (-1 * 1) = 4 - 1 = 3Calculate third entry of first row of matrix H: Calculate the third entry of the first row of matrix H. Multiply the first row of D by the third column of A and sum the products. H[1,3] = (4 * 0) + (-1 * -2) = 0 + 2 = 2Calculate first entry of second row of matrix H: Calculate the first entry of the second row of matrix H. Multiply the second row of D by the first column of A and sum the products. H[2,1] = (2 * 3) + (-1 * 2) = 6 - 2 = 4Calculate second entry of second row of matrix H: Calculate the second entry of the second row of matrix H. Multiply the second row of D by the second column of A and sum the products. H[2,2] = (2 * 1) + (-1 * 1) = 2 - 1 = 1Calculate third entry of second row of matrix H: Calculate the third entry of the second row of matrix H. Multiply the second row of D by the third column of A and sum the products. H[2,3] = (2 * 0) + (-1 * -2) = 0 + 2 = 2Combine entries to form matrix H: Combine all the entries to form matrix H. H = [[10, 3, 2], [4, 1, 2]]

$\mathrm{D}=\left[\begin{array}{ll}4 & -1 \\ 2 & -1\end{array}\right]$ and $A=\left[\begin{array}{rrr} 3 & 1 & 0 \\ 2 & 1 & -2 \end{array}\right]$ $\newline$ Let $\mathrm{H}=\mathrm{DA}$ . Find $\mathrm{H}$ . $\newline$ $\mathbf{H}=$

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