Mathematics: Solve the equation −2w+4=−12. urgent solution

Observe that if the vector is in W then it satisfies:This means that each vector in W can be expressed as a linear combination of the vectors Also we can see that those vectors are linear independent. Then the set is a basis for W and the dimension of W is 2....

Solve the equation −2w+4=−12. urgent solution

Ответ:

chantihock05

31.12.2021

Mathematics

The solution is w=8

Step-by-step explanation:

we have

-2w+4=-12

Solve for w

That means > isolate the variable w

Subtract 4 both sides

-2w+4-4=-12-4

-2w=-16

Divide by -2 both sides

-2w/-2=-16/-2

w=8

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Ответ:

kimlyn58p0wyn0

01.05.2021

Mathematics

$W=\{\left[\begin{array}{ccc}a+2b\\b\\-3a\end{array}\right]: a,b\in\mathbb{R} \}$

Observe that if the vector $x=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ is in W then it satisfies:

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{c}a+2b\\b\\-3a\end{array}\right]=a\left[\begin{array}{c}1\\0\\-3\end{array}\right]+b\left[\begin{array}{c}2\\1\\0\end{array}\right]$

This means that each vector in W can be expressed as a linear combination of the vectors $\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]$

Also we can see that those vectors are linear independent. Then the set

$\{\left[\begin{array}{c}1\\0\\-3\end{array}\right], \left[\begin{array}{c}2\\1\\0\end{array}\right]\}$ is a basis for W and the dimension of W is 2.

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Solve the equation −2w+4=−12. urgent solution

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