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Murrr4er [49]
3 years ago
7

Help please! I can’t seem to solve this!!!

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0

Answer: C

Step-by-step explanation:

exis [7]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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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:

  1. Compute the matrix A' = A-\lambda I, where I is the identity matrix (1s on the diagonal, 0s elsewhere)
  2. Compute the determinant of A'
  3. 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]

The determinant of this matrix is

\left|\begin{array}{cc}1-\lambda&-2\\-2&-\lambda\end{array}\right| = -\lambda(1-\lambda)-(-2)(-2) = \lambda^2-\lambda-4

Finally, we have

\lambda^2-\lambda-4=0 \iff \lambda = \dfrac{1\pm\sqrt{17}}{2}

So, the two eigenvalues are

\lambda_1 = \dfrac{1+\sqrt{17}}{2},\quad \lambda_2 = \dfrac{1-\sqrt{17}}{2}

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2 years ago
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Contains fractions <br> 6v-5/8=7/8
Novay_Z [31]

Answer: v = 2

Step-by-step explanation:

Your equation:

\frac{6v-5}{8}  = \frac{7}{8}

You can multiply both sides by 8 to eliminate the fraction, which gives you this:

6v - 5 = 7

Then, you can solve for it:

6v = 12

v = 2

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