Question

sabe-se que a=(1 2 0 1) e b=(1 2 1 1), calcule x e y que verifique as condições 2x y=3a-b e x-y=2a-3b

Answer 1

0 1

1 2
1 1

2x+y=
3 6
0 3
+
1 2
1 1
=
4 8
1 4

x-y=
2 4
0 2
-
3 6
3 3
=
-1 -2
-3 -1

2x+y=
4 8
1 4

x-y=
-1 -2
-3 -1

2x-2y=
-2 -4
-6 -2

2x+y-2x+2y=3y
4 8
1 4
-
-2 -4
-6 -2
=
4 8
1 4
+
2 4
6 2
=
6 12
7 6

3y=
6 12
7 6

y=
2 4
7/3 2

2x+y=
4 8
1 4
=
2x+
2 4
7/3 2

4 8
1 4
=
2+2a 4+2b
(7/3)+2c 2+2d

4 8
1 4
=
2+2a 4+2b
(7/3)+2c 2+2d

4=2+2a
8=4+2b
1=(7/3)+2c
4=2+2d

2a=2
2b=4
2c=-4/3
2d=2

a=1
b=2
c=-4/6=-2/3
d=1

x=
1 2
-2/3 1

y=
2 4
7/3 2