Let P n be the n × n matrix whose entries are all ones,except for zeros directly below the main diagonal; forexample, P 5 = [ 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 ] Find the determinant of P n .
Let P n be the n × n matrix whose entries are all ones,except for zeros directly below the main diagonal; forexample, P 5 = [ 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 ] Find the determinant of P n .
Solution Summary: The author explains the determinants of p_n =1. The 1times n matrix whose entries are all ones except the below diagonal elements are zeros.
Let
P
n
be the
n
×
n
matrix whose entries are all ones,except for zeros directly below the main diagonal; forexample,
P
5
=
[
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
0
1
]
Solve the system of equation for y using Cramer's rule. Hint: The
determinant of the coefficient matrix is -23.
-
5x + y − z = −7
2x-y-2z = 6
3x+2z-7
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
realme Shot on realme C30
2025.01.31 22:35
f
Use Pascal's triangle to expand the binomial
(6m+2)^2
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