KIC000023 - Matrix Operations Matrix Operations Since they...

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Matrix Operations Since they are both 2 x 2, we can add them: A+B=[; ~]+[~ ~]=[::] Or subtract one from the other: Matrix Operations Matrix Multiplication To multiply two matrices, the number of columns in the first must be the same as the number of rows in the second, in which case they are conformable for multiplication. A simple way to check the conformability of two matrices for multiplication is to write down the dimensions of the operation, for example (n x k) times (k x t). The inner dimensions must be equal. The result has dimensions equal to the outer values. That is, the result would have dimension (n x t). Example: Matrix Multiplication [ 2 0~4 I 3] MN= ~ ~p 7 2 [ 2.4+0.1 2·1+0·7 = 5·4+3·1 5·1+3·7 1·4+6·1 1·1+6·7 [ 8 2 6] = 23 26 21 10 43 15 2.3+0.2] 5·3+3·2 1·3+6·2 Matrix Operations Scalar Multiplication To multiply a matrix by a number - or in matrix terminology, by a scalar - is to multiply every element of that matrix by the given scalar. Example:
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KIC000023 - Matrix Operations Matrix Operations Since they...

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