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Math Help - Simple matrices question

  1. #1
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    Simple matrices question

    So I was wondering, if you have a matrix such as
    A=2(2 5 6
    ......4 3 2
    ......7 4 8)
    (ignore the dots)
    it is equilvalent to B=(4 10 12
    .............................8 6 4
    .............................14 8 16)
    ??
    Does the 2 in front mean that it is multiplied in. If not, what does it stand for?
    Thanks!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by sberxa View Post
    So I was wondering, if you have a matrix such as
    A=2(2 5 6
    ......4 3 2
    ......7 4 8)
    (ignore the dots)
    it is equilvalent to B=(4 10 12
    .............................8 6 4
    .............................14 8 16)
    ??
    Does the 2 in front mean that it is multiplied in. If not, what does it stand for?
    Thanks!
    Yes, they are equivalent. When you multiply a matrix by a scalar, you multiply each element in the matrix by that scalar value:

    2\begin{bmatrix}2&5&6\\4&3&2\\7&4&8\end{bmatrix}=\  begin{bmatrix}2\cdot{\color{red}2}&5\cdot{\color{r  ed}2}&6\cdot{\color{red}2}\\4\cdot{\color{red}2}&3  \cdot{\color{red}2}&2\cdot{\color{red}2}\\7\cdot{\  color{red}2}&4\cdot{\color{red}2}&8\cdot{\color{re  d}2}\end{bmatrix}=\begin{bmatrix}4&10&13\\8&8&4\\1  4&8&16\end{bmatrix}

    --Chris
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