Our answer goes in position a 11 (top left) of the answer matrix. We work across the 1st row of the first matrix, multiplying down the 1st column of the second matrix, element by element. We multiply and add the elements as follows. We'll see a numbers example after.Īs an example, let's take a general 2 × 3 matrix multiplied by a 3 × 2 matrix. We use letters first to see what is going on. Example 1Ī) Multiplying a 2 × 3 matrix by a 3 × 4 matrix is possible and it gives a 2 × 4 matrix as the answer.ī) Multiplying a 7 × 1 matrix by a 1 × 2 matrix is okay it gives a 7 × 2 matrixĬ) A 4 × 3 matrix times a 2 × 3 matrix is NOT possible. Important: We can only multiply matrices if the number of columns in the first matrix is the same as the number of rows in the second matrix.
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