For the given 4x4 matrix, find P such that INV(P)AP is in JordanCanonicalForm.
A = | 2 1 0 0 |
| -1 4 0 0 |
| 0 0 2 1 |
| 0 0 -1 2 |
It is easy to find repeated eigenvalues (3, 2+i, 2-i).
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation
Exercise. IV. This problem is a partial investigation of which n×n matrices over C have
cube roots; that is, for which n × n matrices A over C there is an n × n B over C such
that A = B3. Since C is algebraically closed, every n × n matrix over C is similar over C
to a matrix in Jordancanonicalform.
A. Suppose that A
Let [EQUATION1] with [EQUATION2] and [EQUATION3]. The idea is to write each such set in some simple canonicalform.
(i) When n = 2, how many distinct knapsack sets are there? Write them out in a canonicalform with integral coefficients and 1 = [EQUATION4].
(ii) Repeat for n = 3 with [EQUATION5].
*(For proper equations an
Give an example of a non-rectifiable closed Jordan curve on the interval -1<=t<=1.
My thought: t + i(sin 1/t) + ?????
Please advise what curve I can add to make this work. Or, if this will not work, please provide an example of a non-rectifiable closed Jordan curve on -1<=t<1.
Use the Gauss-Jordan method to solve the system of equations.
−3x + 4y = 17
x − 5y = −13
Enter the answer as a coordinate pair including the parentheses and comma. If a coordinate is not an integer, enter it as a fraction in simplest form. If the system has no solution, "no solution" should be entered.
Which of the following mathematical relationships could be found in a linear programming model? And which could not (why)?
a. -1A + 2B < 70
b. 2A - 2B = 50
c. 1A - 2B2 < 10
d. 3 squareroot A + 2B > 15
e. 1A + 1B = 6
f. 2A + 5B + 1AB < 25
Find the solutions that satisfy the following const