L5-W2L2-160s10matrixproduct - Matrices matrix product Matrix multiplication A B is dened only if the number of columns of matrix A is the same as the

L5-W2L2-160s10matrixproduct - Matrices matrix product...

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Matricesmatrix productMatrix multiplicationA·Bis defined only if the number of columnsof matrixAis the same as the number of rows of matrixB.Amxp·Bpxn= Cmxn,pis the number of columns ofAandpis thenumber of rows ofB.The resulting matrixChas the same number of rows asAand thesame number of columns asBMatrix multiplication is defined in terms of multiplying a row matrixby a column matrix. Both matrices must have the same number ofelements.A =12and,B =34(1)A·B =12·34=1·3 + 2·4=11(2)
Matricesmatrix productC = A·B =1234·4321=c11c12c21c22=852013(3)cijis the element in rowiand columnjof matrixC = ABcijis found by multiplying rowiof matrixAby columnjof matrixBcij=ith row of A·

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