Math 2270-1 Maple Assignment
Problem 1. Consider the matrix
A=
−2−6a b
2 5 c d
0 0 0 6
0 0 −2 7
where a,b,cand dare te last four digits of your student ID (for
example, if your student ID is 00012468, a= 2, b= 4, c= 6 and
d= 8).
Using a Maple worksheet, calculate:
a) all eigenvalues of A and check if the matrix is invertible;
b) eigenvectors of A;
c) a change of basis matrix Swhich diagonalizes the matrix A;
d) the diagonal matrix D=S−1AS.
Finally, using these results, calculate Anwhere nis any integer.
Instructions: Save your work in a Maple worksheet with the name
<firstname.lastname>.mw.
last day of classes (April 29).
This assignment is worth 25 points in the final grade calculation (each
midterm is worth up to 100 points, and the final up to 200 points).
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