{:[E=[[-1,3],[0,4]]" and "],[B=[[0,5,-2],[5,2,2]]]:} Let H=EB. Find H. H=[]

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{:[E=[[-1,3],[0,4]]" and "],[B=[[0,5,-2],[5,2,2]]]:} Let  H=EB. Find  H.  H=[]

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Define Matrices E and B: Define the matrices E and B. Matrix E is given as: E = [[-1, 3],      [ 0, 4]]  Matrix B is given as: B = [[0, 5, -2],      [5, 2, 2]]Multiply Matrices E and B: Multiply matrix E by matrix B to find matrix H. To multiply two matrices, we take the dot product of the rows of the first matrix with the columns of the second matrix. The product matrix H will have the same number of rows as the first matrix E and the same number of columns as the second matrix B.  The element in the first row and first column of matrix H (H[1,1]) is calculated as: H[1,1] = E[1,1]*B[1,1] + E[1,2]*B[2,1] H[1,1] = (-1)*0 + 3*5 H[1,1] = 0 + 15 H[1,1] = 15  The element in the first row and second column of matrix H (H[1,2]) is calculated as: H[1,2] = E[1,1]*B[1,2] + E[1,2]*B[2,2] H[1,2] = (-1)*5 + 3*2 H[1,2] = -5 + 6 H[1,2] = 1  The element in the first row and third column of matrix H (H[1,3]) is calculated as: H[1,3] = E[1,1]*B[1,3] + E[1,2]*B[2,3] H[1,3] = (-1)*(-2) + 3*2 H[1,3] = 2 + 6 H[1,3] = 8  The element in the second row and first column of matrix H (H[2,1]) is calculated as: H[2,1] = E[2,1]*B[1,1] + E[2,2]*B[2,1] H[2,1] = 0*0 + 4*5 H[2,1] = 0 + 20 H[2,1] = 20  The element in the second row and second column of matrix H (H[2,2]) is calculated as: H[2,2] = E[2,1]*B[1,2] + E[2,2]*B[2,2] H[2,2] = 0*5 + 4*2 H[2,2] = 0 + 8 H[2,2] = 8  The element in the second row and third column of matrix H (H[2,3]) is calculated as: H[2,3] = E[2,1]*B[1,3] + E[2,2]*B[2,3] H[2,3] = 0*(-2) + 4*2 H[2,3] = 0 + 8 H[2,3] = 8Combine Elements to Form Matrix H: Combine the calculated elements to form matrix H. Matrix H, which is the product of matrix E and matrix B, is: H = [[15, 1, 8],      [20, 8, 8]]

$\begin{array}{l} \mathrm{E}=\left[\begin{array}{rr} -1 & 3 \\ 0 & 4 \end{array}\right] \text { and } \mathrm{B}=\left[\begin{array}{llr} 0 & 5 & -2 \\ 5 & 2 & 2 \end{array}\right] \end{array}$ $\newline$ Let $\mathrm{H}=\mathrm{EB}$ . Find $\mathrm{H}$ . $\newline$ $\mathbf{H}=$

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