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