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B IS 52 nk 3 then Cik For example if C The matrix C Ciklmxp...

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Algebra

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B IS 52 nk 3 then Cik For example if C The matrix C Ciklmxp is the product of A and B 2 7 1 MATHEMATICS and is given by CD Entry in first row first column Entry in first row second column 0 Entry in second row first column 1 1 0 3 Thus CD AB Example 12 Find AB 1 entry is the sum of the products across some row of C with the corresponding entries down some column of D These four computations are 2 1 4 13 2 17 13 1 2 34 3 1 34 1 0 3 4 a 22k 2 N 4 Rationalised 2023 24 2 and D 1 5 2 1 2 1 5 second column 03 43 lish Entry in second row a 3 D3k 1 5 4 7 1 5 4 2 2 3 1 100 12 63 36 81 0 72 4 21 12 27 0 24 This is a 2 x 2 matrix in which each 1 in 1 2 1 1 2 5 27 13 1 2 4 then the product CD is defined 13 1 7 1 1 260 3 and B 28 79 to be 6 2 9 7 6 6 9 9 6 0 9 8 2 2 3 7 2 6 3 9 2 0 3 8 Solution The matrix A has 2 columns which is equal to the number of rows of B Hence AB is defined Now 2 0 7 3 1 4 4 2 75 117 72 25 39 24

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