MATH 0110 Lecture 3: OPERATIONS BETWEEN MATRICES

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Two matrices a and b can be added or subtracted only if they have the same size as: n n b. 2 a mn and c scale , then ca. Two matrices a and b are multipliable if the number of columns of a coincides with the number of rows of: that is. M m x n x n n x p = ( m x n ) m x p. In short if the central numbers are equal then you can multiply and the size of the answer are the numbers of the extremes m x p. The element cij of the product matrix is obtained by multiplying each element of row i of matrix a by each element of column j of matrix b and adding them together. First check that the product is possible; a is of size 2 x 3 and b is of size 3 x 2; as the number of columns of.

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