34
24
The inverse of a 2
×
2 matrix.
The inverse of the
2×2
matrix
is
. In other words,
As is clear from the formula above, when the denominator
, no inverse exists.
Program
Lbl 1:?→ A:?→ B:?→ C:?→ D:AD - BC → M:M =0⇒ Goto 1:
A→X:D÷M→A:X÷M→D:-B÷M→B:-C÷M→C:A
B
C
D <
71 STEP
>
INPUT A, B, C, D : matrix
OUTPUT A, B, C, D : inverse of matrix
Execution Example:
The inverse matrix of
is
For
, the inverse does not exist and the values
and must be re-entered.
a b
c d
1
ad bc
–
------------------
d
b
–
c
–
a
1
ad bc
–
------------------
d
b
–
c
–
a
a b
c d
1
0
0
1
=
a
d
bc
–
0
=
a b
c d
a b
c d
1
4
2 4
1
–
1
0.5
0.25
–
Prog
1
1
EXE
4
EXE
2
EXE
4
EXE
M
Disp
S A
D R
P1
P1 P2 P3 P4
G
EXE
M
Disp
S A
D R
P1
P1 P2 P3 P4
G
EXE
M
Disp
S A
D R
P1
P1 P2 P3 P4
G
EXE
M
S A
D R
P1
P1 P2 P3 P4
G
ad bc
0
=
–
a b c
, ,
d
関数電卓事例集
.book 34
ページ
2002年9月2日 月曜日 午後6時51分
Summary of Contents for 3950P
Page 1: ......
Page 46: ...MEMO MEMO MEMO MEMO...
Page 47: ...Authors Dr Yuichi Takeda Research and Development Initiative Chuo University...
Page 48: ......