for the matrix, A= [1 2 -1; 2 3 1; -1 -1 -2; 3 5 0]
a. calculate the transpose of A multiplied by A
b. find the eigenvectors and eigenvalues of the answer to a
c. Find the SVD of matrix A
Consider Matrix A = ([5, 0, 4],[1, -1, 0],[1, 1, 0]). Note that
[5, 0, 4] is row 1. [1, -1, 0] is row 2. [1, 1, 0] is row 3.
a) Find all Eigenvalues and Eigenvectors.
Let 3x3 matrix A = -3 0 -4
0 5 0
-4 0 3
a) Find the eigenvalues of A and list their multiplicities.
b) Find a basis, Bi, for each eigenspace, E(i).
c) If possible, diagonalise matrix A. (i.e find matrices P and D
such that Pinv AP = D is diagonal).
exampleInput.txt
1 2 3
0 2 3 4
0 1 3 5
0 1 2 6
1 5 6 8
2 4 6 7
3 4 5 9 10
5 8 9
4 7 9
6 7 8
6
How can I detect when 'cin' starts reading from a new line. The
amount of numbers in each row is unknown. I need them in type 'int'
to use the data.
eigenvalues of the matrix A = [1 3 0, 3 ?2 ?1, 0 ?1 1] are 1, ?4
and 3. express the equation of the surface x^2 ? 2y^2 + z^2 + 6xy ?
2yz = 16. How should i determine the order of the coefficient in
the form X^2/A+Y^2/B+Z^2/C=1?
Find the distances:
A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 .
B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 .
C) From the point (1,2,3) to the line ?=〈−?,4−?,1+4?〉 .