These matrices can be multiplied because the first matrix, Matrix A, has 3 columns, while the second matrix, Matrix B, has 3 rows.
Matrix A has 2 rows, so the matrix product will have 2 rows. Matrix B has 2 columns, so the matrix product will have 2 columns. The matrix product will have 2 rows and 2 columns.
6 x -5 = -30 1 x 0 = 0 -2 x 2 = -4 -30 + 0 + (-4) = -34 The dot product is -34 and it belongs on the bottom right of the matrix product. When you multiply matrices, the dot product will go in the position of the row of the first Matrix and the column of the second matrix. [5] X Research source For example, when you found the dot product of the bottom row of Matrix A and the right column of Matrix B, the answer, -34, went in the bottom row and right column of the matrix product.
6 x -5 = -30 1 x 0 = 0 -2 x 2 = -4 -30 + 0 + (-4) = -34 The dot product is -34 and it belongs on the bottom right of the matrix product. When you multiply matrices, the dot product will go in the position of the row of the first Matrix and the column of the second matrix. [5] X Research source For example, when you found the dot product of the bottom row of Matrix A and the right column of Matrix B, the answer, -34, went in the bottom row and right column of the matrix product.
6 x 4 = 24 1 x (-3) = -3 (-2) x 1 = -2 24 + (-3) + (-2) = 19 The dot product is -19 and it belongs on the bottom left of the matrix product.
6 x 4 = 24 1 x (-3) = -3 (-2) x 1 = -2 24 + (-3) + (-2) = 19 The dot product is -19 and it belongs on the bottom left of the matrix product.
2 x 4 = 8 3 x (-3) = -9 (-1) x 1 = -1 8 + (-9) + (-1) = -2 The dot product is -2 and it belongs on the top left of the matrix product. To find the term on the top right of the matrix product, just find the dot product of the top row of Matrix A and the right column of Matrix B. Here’s how you do it: 2 x (-5) = -10 3 x 0 = 0 (-1) x 2 = -2 -10 + 0 + (-2) = -12 The dot product is -12 and it belongs on the top right of the matrix product.
