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2 years ago

The mass of a grain of sand is about 103 gram.

Mathematics

1 answer:

KatRina [158]2 years ago

3 0

1 grain = 103g

2kg = 2000g

grains = 2000g/103g = 19.417

Answer:

About 19.417 grains

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White raven [17]

Answer:

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Step-by-step explanation:

Given

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$\frac{Bh}{3}$ = V

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2 years ago

How to solve #4 and #5

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3 years ago

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Svetradugi [14.3K]

Answer:

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Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called $\lambda$ are scalars who comply with the relation:

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

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$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix is given as

$A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]$

Set up the equation to solve

$det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0$

Expanding the determinant

$det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0$

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Operating Rearranging

$\lambda^2-3\lambda-40=0$

Factoring

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Solving, we have the eigenvalues

$\boxed{\lambda=8,\ \lambda=-5}$

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Answer:

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