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L5-W2L2-160s10matrixproduct

L5-W2L2-160s10matrixproduct - Matrices matrix product...

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Matrices matrix product Matrix multiplication A · B is defined only if the number of columns of matrix A is the same as the number of rows of matrix B . A mxp · B pxn = C mxn , p is the number of columns of A and p is the number of rows of B . The resulting matrix C has the same number of rows as A and the same number of columns as B Matrix multiplication is defined in terms of multiplying a row matrix by a column matrix. Both matrices must have the same number of elements. A = 1 2 and , B = 3 4 (1) A · B = 1 2 · 3 4 = 1 · 3 + 2 · 4 = 11 (2)
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Matrices matrix product C = A · B = 1 2 3 4 · 4 3 2 1 = c 11 c 12 c 21 c 22 = 8 5 20 13 (3) c ij is the element in row i and column j of matrix C = AB c ij is found by multiplying row i of matrix A by column j of matrix B c ij = ith row of A ·
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