In the next two problems, the matrix given represents a system of three equations in the variables T, y, and z, and row reduction has already been completed. Give the solution for each. 0| 18 1-7 1 24 24z + 18 7z+ 18 I = 24y – 18z - 7 (A) y = (B) y, z are arbitrary(free) is arbitrary(free) {: = -24y - 18 z = -7 is arbitrary(free) = -24y + 18 (C) z = -7 (D) is arbitrary(free) -24y + 18z – 7 are arbitrary(free) %3! (E) no solution (F) y, z = -24z + 18 -7z+ 18 -24 (G) 18 (H) z = -7 is arbitrary(free) O A O B OD O E OF
In the next two problems, the matrix given represents a system of three equations in the variables T, y, and z, and row reduction has already been completed. Give the solution for each. 0| 18 1-7 1 24 24z + 18 7z+ 18 I = 24y – 18z - 7 (A) y = (B) y, z are arbitrary(free) is arbitrary(free) {: = -24y - 18 z = -7 is arbitrary(free) = -24y + 18 (C) z = -7 (D) is arbitrary(free) -24y + 18z – 7 are arbitrary(free) %3! (E) no solution (F) y, z = -24z + 18 -7z+ 18 -24 (G) 18 (H) z = -7 is arbitrary(free) O A O B OD O E OF
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:In the next two problems, the matrix given represents a system of three equations in
the variables T, y, and z, and row reduction has already been completed. Give the
solution for each.
1 24
0.
0 18
1-7
1
0.
0.
0.
24z + 18
= 24y - 18z -7
are arbitrary(free)
(A)
7z+ 18
(B)
Y, z
is arbitrary(free)
-24y + 18
= -7
-24y – 18
-7
%3D
%3D
(C)
(D)
is arbitrary(free)
is arbitrary(free)
{
= -24y+18z - 7
are arbitrary(free)
(E) no solution
(F)
y, z
-24
-24z + 18
= -7z+18
is arbitrary(free)
(G)
18
(H)
%3D
-7
OD
O E
OF
H.
I|||
HNS
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