anonymous
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MATRIX QUESTION
Mathematics
chestercat
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anonymous
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*
anonymous
  • anonymous
\[A = \left[\begin{matrix}a & b \\ c & 0\end{matrix}\right] and B = \left[\begin{matrix}1 & 0 \\ d & e\end{matrix}\right]. \]
anonymous
  • anonymous
Giving your answer is terms of a,b,c,d, and e, a)Write down A+B b)Find AB

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anonymous
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Help?
anonymous
  • anonymous
for A+B add the corresponding elements of A and B
anonymous
  • anonymous
a11=a+1 a12=b+0=0 ...
anonymous
  • anonymous
\[ A+B=\left( \begin{array}{cc} a+1 & b \\ c+d & e \end{array} \right) \]
anonymous
  • anonymous
\[ A B=\left( \begin{array}{cc} a+b d & b e \\ c & 0 \end{array} \right) \]
anonymous
  • anonymous
Alright, but how do I do that? I'm a bit new to Matrices.
anonymous
  • anonymous
\[ A = \left[\begin{matrix}a & b \\ c & 0\end{matrix}\right] \text { and } B = \left[\begin{matrix}1 & 0 \\ d & e\end{matrix}\right]\\ c_{1,1}= a (1) + b(d)=a + bd\\ c_{1,2}= a (0) + b(e)=be\\ c_{2,1}= c(1) +0(d)=c\\ c_{2,2}= c(0) +0(e)=0\\ \]
anonymous
  • anonymous
Did you understand?
anonymous
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Yes! Thank you!

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