Help understanding matrix
up vote
-4
down vote
favorite
I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:
https://gyazo.com/fc02fbbe898b586d9901164a6173d766
What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.
Thanks in advance.
matrices matrix-equations
add a comment |
up vote
-4
down vote
favorite
I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:
https://gyazo.com/fc02fbbe898b586d9901164a6173d766
What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.
Thanks in advance.
matrices matrix-equations
Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28
add a comment |
up vote
-4
down vote
favorite
up vote
-4
down vote
favorite
I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:
https://gyazo.com/fc02fbbe898b586d9901164a6173d766
What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.
Thanks in advance.
matrices matrix-equations
I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:
https://gyazo.com/fc02fbbe898b586d9901164a6173d766
What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.
Thanks in advance.
matrices matrix-equations
matrices matrix-equations
asked Nov 14 at 16:24
Griezy
12
12
Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28
add a comment |
Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28
Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28
Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28
add a comment |
1 Answer
1
active
oldest
votes
up vote
0
down vote
accepted
I rewrite the system in the normal form:
$begin{array}{lcl}
x+2y+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 2*(-3)+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+1z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 0y +0z & = & 0 \
0x+1y+0z & = & -3 \
0x+0y+1z & = & 1
end{array}$
Hope it is helpful.
Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
I rewrite the system in the normal form:
$begin{array}{lcl}
x+2y+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 2*(-3)+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+1z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 0y +0z & = & 0 \
0x+1y+0z & = & -3 \
0x+0y+1z & = & 1
end{array}$
Hope it is helpful.
Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.
add a comment |
up vote
0
down vote
accepted
I rewrite the system in the normal form:
$begin{array}{lcl}
x+2y+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 2*(-3)+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+1z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 0y +0z & = & 0 \
0x+1y+0z & = & -3 \
0x+0y+1z & = & 1
end{array}$
Hope it is helpful.
Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
I rewrite the system in the normal form:
$begin{array}{lcl}
x+2y+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 2*(-3)+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+1z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 0y +0z & = & 0 \
0x+1y+0z & = & -3 \
0x+0y+1z & = & 1
end{array}$
Hope it is helpful.
Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.
I rewrite the system in the normal form:
$begin{array}{lcl}
x+2y+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 2*(-3)+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+1z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 0y +0z & = & 0 \
0x+1y+0z & = & -3 \
0x+0y+1z & = & 1
end{array}$
Hope it is helpful.
Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.
edited Nov 14 at 16:46
answered Nov 14 at 16:40
AnNg
375
375
add a comment |
add a comment |
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2998467%2fhelp-understanding-matrix%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28