行列の働き 解答
1
(1) (
3 3 0 2
) ( 5 8
)
= (
39 16
)
(2) (
1 3 4 2
) ( 1 4
)
= (
13 12
)
(3)
1 2 0 3 4 −1
(
5 3
)
=
11
9 17
(4) (
3 1 2 8 5 7
) 4 1 3
= (
19 58
)
(5)
3 5 1
−2 2 4 1 0 7
3 2 5
=
24 18 38
(6)
4 3 8 2 1 5 0 0 0
1 2 4
=
42 24 0
(7)
3 5 1
0 0 0
7 −2 −3
2 1 5
=
16
0
−3
(8)
0 0 0 2 1 −3 5 4 1
9 5 3
=
0 14 68
(9)
0 2 5
0 1 4
0 −3 1
9 5 3
=
25 17
−12
(10)
3 0 7 5 0 −2 1 0 −3
2 1 5
=
41
0
−13
1
2
(1)
a 0 0 0 b 0 0 0 c
x y z
=
ax by cz
(2)
a b c 0 a b 0 0 a
x y z
=
ax+by+cz ay+bz
az
(3)
1 1 1 0 1 1 0 0 1
x y z
=
x+y+z y+z
z
(4)
1 0 0 1 1 0 1 1 1
x y z
=
x x+y x+y+z
(5)
0 1 0 0 0 1 0 0 0
x y z
=
y z 0
(6)
1 0 0 0 1 0 0 0 1
x y z
=
x y z
(7)
0 0 0 1 0 0 0 1 0
x y z
=
0 x y
(8)
0 1 0 1 0 0 0 0 1
x y z
=
y x z
(9)
0 0 1 1 0 0 0 1 0
x y z
=
z x y
(10)
0 1 0 0 0 1 1 0 0
x y z
=
y z x
2