Mathematics, 29.07.2020 02:01 jadaspells27
Find the coordinate vector [Bold x ]Subscript Upper B of x relative to the given basis BequalsStartSet Bold b 1 comma Bold b 2 comma Bold b 3 EndSet
Answers: 2
![B={b_1,b_2}\\\\b_1= \left[\begin{array}{c}5&5\end{array}\right] \ \ \ \ \b_2= \left[\begin{array}{c}2&-5\end{array}\right] \ \ \ \ \x= \left[\begin{array}{c}-7&-35\end{array}\right]](/tpl/images/0714/5421/9c037.png)
![\left[\begin{array}{c}a&c\end{array}\right] =?](/tpl/images/0714/5421/79c79.png)
![\to \left[\begin{array}{c}-7&-35\end{array}\right]= a\left[\begin{array}{c}5&5\end{array}\right]+c \left[\begin{array}{c}2&-5\end{array}\right] \\](/tpl/images/0714/5421/8a854.png)
![\to \left[\begin{array}{c}-7&-35\end{array}\right]= \left[\begin{array}{c}5a+2c&5a-5c\end{array}\right]\\\\\to 5a+2c=-7....(1)\\\\\to 5a-5c=-35....(2)\\\\](/tpl/images/0714/5421/6a16a.png)
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Find the coordinate vector [Bold x ]Subscript Upper B of x relative to the given basis BequalsStartS...
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