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natima [27]
3 years ago
10

Which function, g or h, is the inverse function for function f?

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

D

Step-by-step explanation:

the last one

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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.
Yuki888 [10]

Answer:

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.

7 0
3 years ago
Which number(s) below belong to the solution set of the inequality? Check all that apply.
ValentinkaMS [17]
X=28
4x=112
/4     /4
x = 28
8 0
3 years ago
Read 2 more answers
If You Have NO Explanation Than Don't Answer.
galben [10]

Answer: Option C

Step-by-step explanation:

C because 6+1=1+1+1+1+1+1+1

3 0
3 years ago
Read 2 more answers
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