Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues of A. 3 -4 -1 A = 3 -20 -16 2 How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial 3 P (x) = 1 – 2x + -a + 4.5a3 then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use * for multiplication! Enter the characteristic polynomial of the matrix A: Note: Use x as the polynomial variable. Enter eigenvalues of A separating them by commas: For example, if you obtain that eigenvalues are 1, -2, and 5 then you should enter 1, -2, 5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues of A.
3
-4
-1
A =
3
-20
-16
2
How to enter polynomials.
Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial
3
P (x) = 1 – 2x +
-a + 4.5a3
then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3.
Do not forget to use * for multiplication!
Enter the characteristic polynomial of the matrix A:
Note: Use x as the polynomial variable.
Enter eigenvalues of A separating them by commas:
For example, if you obtain that eigenvalues are 1, -2, and 5 then you should enter 1, -2, 5
Transcribed Image Text:Calculate the characteristic polynomial of the following matrix A, and use it to compute eigenvalues of A. 3 -4 -1 A = 3 -20 -16 2 How to enter polynomials. Enter the formula for a polynomial using * to denote multiplication and ^ to denote the exponent. For example, if the answer is the polynomial 3 P (x) = 1 – 2x + -a + 4.5a3 then you should enter 1 - 2*x + (3/7)*x^2 + 4.5*x^3. Do not forget to use * for multiplication! Enter the characteristic polynomial of the matrix A: Note: Use x as the polynomial variable. Enter eigenvalues of A separating them by commas: For example, if you obtain that eigenvalues are 1, -2, and 5 then you should enter 1, -2, 5
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