Mathematics, 18.08.2020 14:01 okokjade
Let the matrix below act on C². Find the eigenvalues and a basis for each eigenspace in C².
[1 3]
[-3 1]
Answers: 1
such that A
![A\lambda_1-\lambda_1 I=\left[\begin{array}{cc}3i&3\\-3&3i\end{array}\right] \\\\=3\left[\begin{array}{cc}i&1\\-1&i\end{array}\right] \\\\\text{For a vector (a,b), we need to find a and b such that.}\\\\\begin{cases}ai+b=0\\-a+bi=0\end{cases}\\\\\text{(1,-i) is a base of this space, as i-i=0 and -1-}i^2\text{=-1+1=0.}](/tpl/images/0723/7859/e3278.png)
![A\lambda_2-\lambda_2 I=\left[\begin{array}{cc}-3i&3\\-3&-3i\end{array}\right] \\\\=3\left[\begin{array}{cc}-i&1\\-1&-i\end{array}\right]\\\\\text{For a vector (a,b), we need to find a and b such that.}\\\\\begin{cases}-ai+b=0\\-a-bi=0\end{cases}\\\\\text{(1,i) is a base of this space as -i+i=0 and -1-i*i=0.}](/tpl/images/0723/7859/79a29.png)
Another question on Mathematics
Mathematics, 21.06.2019 16:30
Asequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an = an-1 an-2 . find the term a241
Answers: 2
Mathematics, 21.06.2019 19:30
Combine the information in the problem and the chart using the average balance method to solve the problem.
Answers: 2
Mathematics, 21.06.2019 22:00
If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d? are he re
Answers: 1
You know the right answer?
Let the matrix below act on C². Find the eigenvalues and a basis for each eigenspace in C².
[1 3]
Questions
Computers and Technology, 31.10.2019 04:31
Mathematics, 31.10.2019 04:31
Mathematics, 31.10.2019 04:31
Chemistry, 31.10.2019 04:31
History, 31.10.2019 04:31
English, 31.10.2019 04:31
Mathematics, 31.10.2019 04:31
Mathematics, 31.10.2019 04:31
History, 31.10.2019 04:31
Mathematics, 31.10.2019 04:31
