1) Create the following labeled matrices: A is a 3 x 2 matrix of ones, B is a 2 x 3 matrix of ones,
C is a randomly generated (by your CAS) 5 x 5 matrix with integer entries, and R is a 5 x 5 randomly
generated
symmetric matrix with integer entries.
(1)
(
Math 210
Quiz #07
25 points
Name:
1A) Find all eigenvalues and corresponding eigenvectors for the given matrices. Show work. (6 points)
1 2 2
A 2 1 2 (Hint: What is N(A+I)?)
2 2 1
2 0 1
B 0 3 0
1 0 2
1B) What are the eigenvalues of 3A2 ?
(2 points)
1) Randomly generate a 100 x 100 matrix A and a 100 x 1 matrix B.
(1)
(2)
2) Compute the times for inverting A, finding the LU factorization, solving Ax = B, multiplying AA,
and
Display
each command line that shows the calculation was executed and show th