The following 6 by 6 matrix has 4's down its leading diagonal, and -2's down each of the diagonals two steps up and down. 4 0 -2 0 0 0 0 4 0 -2 0 0 -2 0 4 0 -2 M = max = min = 0-2 0 4 0 -2 0 0 -2 0 4 0 0 0 0 -2 0 4 Set up a 6 element column vector f such that the value in all rows of f is C and then solve the system Mx = f of simultaneous equations for the column vector x. Enter the maximum and minimum entries of x in the boxes. Set matlab up to generate a A+B+C by A+ B+C matrix having the same structure as the matrix in the previous question. Calculate the sum and the product of its eigenvalues. sum= product = 2
The following 6 by 6 matrix has 4's down its leading diagonal, and -2's down each of the diagonals two steps up and down. 4 0 -2 0 0 0 0 4 0 -2 0 0 -2 0 4 0 -2 M = max = min = 0-2 0 4 0 -2 0 0 -2 0 4 0 0 0 0 -2 0 4 Set up a 6 element column vector f such that the value in all rows of f is C and then solve the system Mx = f of simultaneous equations for the column vector x. Enter the maximum and minimum entries of x in the boxes. Set matlab up to generate a A+B+C by A+ B+C matrix having the same structure as the matrix in the previous question. Calculate the sum and the product of its eigenvalues. sum= product = 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The following 6 by 6 matrix has 4's down its leading diagonal, and -2's down each of the
diagonals two steps up and down.
4
0-2 0
0 0
0
4 0
0
-2
0 4
0
M =
max =
min =
"
0
-2
0
4 0-2
0
0
-2
0 4 0
0
0 0 -2 0 4
Set up a 6 element column vector f such that the value in all rows of f is C and then
solve the system Mx = f of simultaneous equations for the column vector x. Enter the
maximum and minimum entries of x in the boxes.
Set matlab up to generate a A+B+C by A+
B + C matrix having the same structure as the
matrix in the previous question. Calculate the
sum and the product of its eigenvalues.
sum=
product
-2 0
0-2
2
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