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Unformatted text preview: MATRICES AND MATRIX OPERATIONS (1) When multiplying a 1 n row matrix by an n 1 column matrix, we simply multiply the corresponding terms and sum them to get a 1 1 matrix, i.e. r 1 r 2 r 3 ... r n c 1 c 2 c 3 . . . c n = r 1 c 1 + r 2 c 2 + r 3 c 3 + ... + r n c n (2) There are 4 different matrix operations we may perform over 2 matrices: Addition: Add corresponding entries in the 2 matrices. Both matrices must be the same dimension. Subtraction: Subtract corresponding entries in the 2 matrices. Both matrices must be the same dimension. Scalar multiplication: Multiply ever entry in the matrix by the scalar. Matrix multiplication: Multiply each row matrix in the first matrix by the corre- sponding column matrix in the second matrix. We can only multiply an m n matrix by an n p matrix (i.e. the first matrix has the same number of columns as rows of the second matrix) to obtain an m p matrix....
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