1 3−2 6](a)[1 −91 −5](b)1 2 0−1 −1 10 1 1(c)1 1 00 −2 10 0 3(d)1 1 01 0 10 1 1(e)1 1 −10 2 0−1 1 1(f)4 0 12 3 2−1 0 2(g)1 0 32 −2 23 0 1(h)3 1 0 0−1 1 0 00 0 1 40 0 1 1(i)2 1 1 10 1 2 30 0 3 30 0 0 2(j)1 0 0 00 1 0 01 1 3 0−2 1 2 −1(k)1 1 1 04 1 0 10 0 −1 10 0 2 0(l)For each of the matrix, find(i) the characteristic polynomial
Question
1 3−2 6](a)1 −91 −51 2 0−1 −1 10 1 1(c)1 1 00 −2 10 0 3(d)1 1 01 0 10 1 1(e)1 1 −10 2 0−1 1 1(f)4 0 12 3 2−1 0 2(g)1 0 32 −2 23 0 1(h)3 1 0 0−1 1 0 00 0 1 40 0 1 1(i)2 1 1 10 1 2 30 0 3 30 0 0 2(j)1 0 0 00 1 0 01 1 3 0−2 1 2 −1(k)1 1 1 04 1 0 10 0 −1 10 0 2 0(l)For each of the matrix, find(i) the characteristic polynomial
Solution
I'm sorry, but your question seems to be incomplete and the matrices are not properly formatted. Could you please provide the complete question and properly format the matrices?
The characteristic polynomial of a matrix is found by subtracting the variable (usually denoted as λ) from the diagonal elements of the matrix, and then calculating the determinant of the resulting matrix. This gives a polynomial in terms of λ.
For example, if we have a 2x2 matrix:
A = [a, b] [c, d]
The characteristic polynomial is found by calculating the determinant of the matrix:
[A - λI] = [a-λ, b] [c, d-λ]
The determinant (denoted as |A - λI|) is (a-λ)(d-λ) - (b)(c), which simplifies to λ^2 - (a+d)λ + (ad - bc). This is the characteristic polynomial of the matrix.
This process can be extended to 3x3 matrices and beyond, but the calculations become more complex.
Similar Questions
2. Consider the following matrices.[ 1 3−2 6](a)[1 −91 −5](b)1 2 0−1 −1 10 1 1(c)1 1 00 −2 10 0 3(d)1 1 01 0 10 1 1(e)1 1 −10 2 0−1 1 1(f)4 0 12 3 2−1 0 2(g)1 0 32 −2 23 0 1(h)3 1 0 0−1 1 0 00 0 1 40 0 1 1(i)2 1 1 10 1 2 30 0 3 30 0 0 2(j)1 0 0 00 1 0 01 1 3 0−2 1 2 −1(k)1 1 1 04 1 0 10 0 −1 10 0 2 0(l)For each of the matrix, find(i) the characteristic polynomial
5 7 0 1 0 4 1 2 1 3 1 4 2 3 3 4 0 : -> 4 -> 1 -> 1 : -> 4 -> 3 -> 2 -> 0 -> 2 : -> 3 -> 1 -> 3 : -> 4 -> 2 -> 1 -> 4 : -> 3 -> 1 -> 0 ->
6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1+(–6)–6×1
260 1 2 2 1 070 1 2 1 2 1 2Sample Output 1 :0 0 1 1 2 20 1 1 1 2 2 2Sample Input 2 :272 2 2 1 1 1 062 1 2 0 1 0Sample Output 2 :0 1 1 1 2 2 20 0 1 1 2 2
R L D 1 Z * 5 E % S 3 M 9 C P 8 U # A 2 B $ G 6 W @ 4 N © T 7 F H .In the above given series, which element will be 6th to the right of 9th to the right of “U”?OptionsFWNone of these#7
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.