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3 years ago

A diagonal cross section of a sphere produces which two-dimensional shape?

1 answer:

const2013 [10]3 years ago

4 0

A diagonal cross section of a sphere produces a circle.

Regardless of how the sphere is cut, it will form a circle.

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Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =

Svetradugi [14.3K]

Answer:

$\lambda=8,\ \lambda=-5$

Step-by-step explanation:

Eigenvalues of a Matrix

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

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

Where I is the identity matrix

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

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

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

$(3-\lambda)(-\lambda)-40=0$

Operating Rearranging

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

Factoring

$(\lambda-8)(\lambda+5)=0$

Solving, we have the eigenvalues

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

8 0

3 years ago

bella and camila are gathering leaves for their nature collection. bella has 18 leaves. camilla has twice as many leaves as bell

vaieri [72.5K]

Answer:

Step-by-step explanation:

18 + 18 is like 36 divied by 2 is 18 then dvide that by two is 9 so 9

8 0

2 years ago

What number is 30% of 90

marta [7]

Answer:

it is 27 as you multiply .30 times 90

3 0

3 years ago

Read 2 more answers

(The last 22 and 23)

quester [9]

1) 24
2) (-8)

Hope this helps

7 0

3 years ago

If you increase your current quality score of 85% by 7% you will have a score of what ?

amm1812

The answer is 90.95 percent

3 0

3 years ago