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.
2x3 and 3x3 matrix multiplication.
Now the way that us humans have defined matrix multiplication it only works when we re multiplying our two matrices.
Properties of matrix multiplication.
Matrix calculator 2x2 matrix multiplication.
Multiplication of 2x3 and 3x3 matrices is possible and the result matrix is a 2x3 matrix.
Intro to matrix multiplication.
So this right over here has two rows and three columns.
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Now the matrix multiplication is a human defined operation that just happens in fact all operations are that happen to have neat properties.
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So it s a 2 by 3 matrix.
Matrix calculator 1x1 matrix multiplication.
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