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Matrices Elements, Adding and Subtracting
Emerald Seing 8-1
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Elements Of Matrices [[2 6 ] A = [3 4 ] [5 1 ]]
[[2 6 ] A = [3 4 ] [5 1 ]] Dimensions of matrix A: Row X Column: 3 X 2 Entry at A22 = 4 Row2, Column2 Address of entry 5 = A31 Row3, Column1
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Adding And Subtracting Matrices
A = [[ ] B = [[ ] [ ]] [ ]] Adding and subtracting matrices are only possible if the dimensions of the matrices are the same. Both matrices A and B are 2X2. Therefore, they can be added and subtracted. Add and subtract corresponding entries of the two matrices. A-B = [[ 1 5 ] [[ 3 7 ] [[ ] [ 4 2 ]] [ 1 5 ]] = [ ]] A11 – B11 = 1 – 3 = A12 – B12 = 5 – 7 = -2 A21 – B21 = 4 – 1 = A22 – B22 = 2 – 5 = -3
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Cont… A = [[ 1 5 ] B = [[ 3 7 ] [ 4 2 ]] [ 1 5 ]]
[ ]] [ ]] A + B = [[ 1 5 ] [[ 3 7 ] [[ ] [ ]] [ 1 5 ]] = [ 5 7 ]] A11 + B11 = = 4 A12 + B21 = = 12 A21 + B21 = = 5 A22 + B22 = = 7
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