So this right over here has two rows and three columns.
2x3 and 3x3 matrix multiplication.
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Intro to matrix multiplication.
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Row 1 column 1.
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Properties of matrix multiplication.
So it s a 2 by 3 matrix.
Now the way that us humans have defined matrix multiplication it only works when we re multiplying our two matrices.
Matrix calculator 1x1 matrix multiplication.
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Multiplication of 2x3 and 3x3 matrices is possible and the result matrix is a 2x3 matrix.
The product will be a 2 4 matrix the outer dimensions.
The multiplication is defined because the inner dimensions 3 are the same.
Since there are three columns in the first matrix and three rows in the second matrix the inner dimensions which must be the same each element in the product will be the sum of three products.