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Aleks [24]
3 years ago
12

Câu 1. Trong các phát biểu dưới đây, phát biểu nào không là mệnh đề?

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

i dont know your language srry, but hopfuly you know english because this is english.

Step-by-step explanation:

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I have seen a Question already answered Today which was this, and the Answer is B.
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A farmer harvests 15 cucumbers for every 45 carrots. Which of the following ratios represents the ratio of cucumbers to carrots,
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15 cucumbers to 45 carrots...

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Read 2 more answers
The matrix A = −14 −6 6 28 12 −4 0 0 4 has characteristic polynomial
rosijanka [135]

Answer:

Characteristic equation:

p(\lambda) = -\lambda^3 + 2\lambda^2 + 8\lambda

Eigen values:

\lambda_1 = 0, \lambda_2 = -2, \lambda_3= 4

Step-by-step explanation:

We are given the matrix:

\displaystyle\left[\begin{array}{ccc}-14&-6&6\\28&12&-4\\0&0&4\end{array}\right]

The characteristic equation can be calculated as:

det(A-\lambda I) = 0\\|A-\lambda I| = 0

We follow the following steps to calculate characteristic equation:

=det\Bigg(\displaystyle\left[\begin{array}{ccc}-14&-6&6\\28&12&-4\\0&0&4\end{array}\right]-\lambda\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\Bigg)\\\\= det\Bigg(\displaystyle\left[\begin{array}{ccc}-14-\lambda&-6&6\\28&12-\lambda&-4\\0&0&4-\lambda\end{array}\right]\Bigg)\\\\=(-14-\lambda)[(12-\lambda)(4-\lambda)]+6[28(4-\lambda)]-6[(28)(0)-(12-\lambda)(0)]\\\\= -\lambda^3 + 2\lambda^2 + 8\lambda

p(\lambda)= -\lambda^3 + 2\lambda^2 + 8\lambda

To obtain the eigen values, we equate the characteristic equation to 0:

p(\lambda) = -\lambda^3 + 2\lambda^2 + 8\lambda = 0\\-\lambda(\lambda^2-2\lambda-8) = 0\\-\lambda(\lambda^2-4\lambda+2\lambda-8) = 0\\-\lambda[(\lambda(\lambda-4)+2(\lambda-4)] = 0\\-\lambda(\lambda+2)(\lambda-4) = 0 \\\lambda_1 = 0, \lambda_2 = -2, \lambda_3= 4

We can arrange the eigen values as:

\lambda_1 = 0, \lambda_2 = -2, \lambda_3= 4\\-2 < 0 < 4\\\lambda_2 < \lambda_1 < \lambda_3

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PQR is a straight line.
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PQR=PQ+QR

QR=1 unit

PQ=6 units

PQR=7 units

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1 unit------>98÷7

=14cm

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Name one situation in which a humor device would be good to use in your writing?
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