Mathematics, 21.09.2019 16:30, ginger87771
16. let w be the set of all vectors in r3 of the form a+2b b -3a find a basis for wand state the dimension of w.
Answers: 2
![W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}](/tpl/images/0249/7623/fa4ef.png)
![x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]](/tpl/images/0249/7623/2e302.png)
is in W then it satisfies:![\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]](/tpl/images/0249/7623/603a3.png)
![\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]](/tpl/images/0249/7623/d1fa8.png)
![\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\}](/tpl/images/0249/7623/d908d.png)
is a basis for W and the dimension of W is 2.
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 14:00, zariasimone2
What is the slope of a line that is perpendicular to y = 3x + 1
Answers: 1
Mathematics, 21.06.2019 18:30, gthif13211
1.two more than the quotient of a number and 6 is equal to 7 use the c for the unknown number translate the sentence into an equation
Answers: 1
Mathematics, 21.06.2019 20:30, phamleson8697
Will give let f(x)=2x and g(x)=[tex]2^{x}[/tex] graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ? enter your answers in the boxes x=[? ] or x=[? ]
Answers: 1
Do you know the correct answer?
16. let w be the set of all vectors in r3 of the form a+2b b -3a find a basis for wand state the dim...
Questions in other subjects:
Mathematics, 21.05.2021 19:20
Mathematics, 21.05.2021 19:20
Social Studies, 21.05.2021 19:20
Chemistry, 21.05.2021 19:20
Mathematics, 21.05.2021 19:20
