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4 years ago

1. Which number does NOT represent a whole number? A 25 B 13 С 150 3 D 3.5

Mathematics

2 answers:

expeople1 [14]4 years ago

8 0

Answer:

D 3.5

Step-by-step explanation:

A number with a decimal can NOT represent a whole number.

raketka [301]4 years ago

5 0

D doesn’t represent a whole #

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3 years ago

Read 2 more answers

Exercise 3.7.4: let a = 2 1 0 0 2 0 0 0 2 .

swat32

With

$\mathbf A=\begin{bmatrix}2&1&0\\0&2&0\\0&0&2\end{bmatrix}$

we have

$\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}2-\lambda&1&0\\0&2-\lambda&0\\0&0&2-\lambda\end{vmatrix}=(2-\lambda)^3$

so $\mathbf A$ has one eigenvalue, $\lambda=2$ , with multiplicity 3.

In order for $\mathbf A$ to not be defective, we need the dimension of the eigenspace to match the multiplicity of the repeated eigenvalue 2. But $\mathbf A-2\mathbf I$ has nullspace of dimension 2, since

$\begin{bmatrix}0&1&0\\0&0&0\\0&0&0\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\mathbf 0\implies x=0\text{ or }y=0$

That is, we can only obtain 2 eigenvectors,

$\begin{bmatrix}1\\0\\0\end{bmatrix}\text{ and }\begin{bmatrix}0\\0\\1\end{bmatrix}$

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3 years ago

Please answer thanks

mamaluj [8]

Answer:

Step-by-step explanation:

$V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93$

In terms of pi

$V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\$

8 0

3 years ago