May someone please show me how to complete this problem? Thank you!

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

7 0

A. See the picture for steps

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in a fundraiser, Mrs. Smith pledges $1 for each mile walked . if Sam walks 20 miles how much will Mrs. Smith donate? what is yhe

EleoNora [17]

Mrs. Smith donated $20
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Anton [14]

The answer is b.
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What eigen value for this matix <br> (1 -2)<br> (-2 0)

natali 33 [55]

You find the eigenvalues of a matrix A by following these steps:

Compute the matrix $A' = A-\lambda I$ , where I is the identity matrix (1s on the diagonal, 0s elsewhere)
Compute the determinant of A'
Set the determinant of A' equal to zero and solve for lambda.

So, in this case, we have

$A = \left[\begin{array}{cc}1&-2\\-2&0\end{array}\right] \implies A'=\left[\begin{array}{cc}1&-2\\-2&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right]=\left[\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right]$