Determine all solutions to the equation system for all real values of a
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(4-a)x1+2x2-x3=1
2x1+(1-a)x2+2x3=2
-x1+2x2+(4-a)x3=-1
The first thing I thought of was writing a coefficient matrice like so:
$$ left[
begin{array}{ccc|c}
(4-a)&2&-1&1\
2&(1-a)&2&2\
-1&2&(4-a)&-1
end{array}
right] $$
And from here use use row operations until you have 4-a alone on the bottom row. But I don't really know how you would go about doing it. Help would be appreciated!
matrices systems-of-equations
asked Nov 18 at 12:14
bullebullebagarn
11
add a comment |
up vote
-2
down vote
favorite
(4-a)x1+2x2-x3=1
2x1+(1-a)x2+2x3=2
-x1+2x2+(4-a)x3=-1
The first thing I thought of was writing a coefficient matrice like so:
$$ left[
begin{array}{ccc|c}
(4-a)&2&-1&1\
2&(1-a)&2&2\
-1&2&(4-a)&-1
end{array}
right] $$
And from here use use row operations until you have 4-a alone on the bottom row. But I don't really know how you would go about doing it. Help would be appreciated!
matrices systems-of-equations
asked Nov 18 at 12:14
bullebullebagarn
11
Welcome to SEM. You can use Cramer's rule for solving your matrix described in wikipedia. search for system of linear equation.
– sirous
Nov 18 at 15:12
add a comment |
up vote
-2
down vote
favorite
up vote
-2
down vote
favorite
(4-a)x1+2x2-x3=1
2x1+(1-a)x2+2x3=2
-x1+2x2+(4-a)x3=-1
The first thing I thought of was writing a coefficient matrice like so:
$$ left[
begin{array}{ccc|c}
(4-a)&2&-1&1\
2&(1-a)&2&2\
-1&2&(4-a)&-1
end{array}
right] $$
And from here use use row operations until you have 4-a alone on the bottom row. But I don't really know how you would go about doing it. Help would be appreciated!
matrices systems-of-equations
asked Nov 18 at 12:14
bullebullebagarn
11
(4-a)x1+2x2-x3=1
2x1+(1-a)x2+2x3=2
-x1+2x2+(4-a)x3=-1
The first thing I thought of was writing a coefficient matrice like so:
$$ left[
begin{array}{ccc|c}
(4-a)&2&-1&1\
2&(1-a)&2&2\
-1&2&(4-a)&-1
end{array}
right] $$
And from here use use row operations until you have 4-a alone on the bottom row. But I don't really know how you would go about doing it. Help would be appreciated!
matrices systems-of-equations
matrices systems-of-equations
asked Nov 18 at 12:14
bullebullebagarn
11
asked Nov 18 at 12:14
bullebullebagarn
11
edited Nov 18 at 12:50
asked Nov 18 at 12:14
bullebullebagarn
11
asked Nov 18 at 12:14
bullebullebagarn
11
asked Nov 18 at 12:14
bullebullebagarn
11
11
Welcome to SEM. You can use Cramer's rule for solving your matrix described in wikipedia. search for system of linear equation.
– sirous
Nov 18 at 15:12
add a comment |
Welcome to SEM. You can use Cramer's rule for solving your matrix described in wikipedia. search for system of linear equation.
– sirous
Nov 18 at 15:12
Welcome to SEM. You can use Cramer's rule for solving your matrix described in wikipedia. search for system of linear equation.
– sirous
Nov 18 at 15:12
Welcome to SEM. You can use Cramer's rule for solving your matrix described in wikipedia. search for system of linear equation.
– sirous
Nov 18 at 15:12
add a comment |
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Welcome to SEM. You can use Cramer's rule for solving your matrix described in wikipedia. search for system of linear equation.
– sirous
Nov 18 at 15:12