inverse of (I-C)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question:

Let an economy contain clothing, housing and food industries. Let $1 in clothing require $0.30 in clothing, $0.30 in housing and $0.10 in food, while $1 in housing takes $0.10 in clothing and $0.50 in housing, and $1 in food uses $0.50 in clothing, $0.10 in housing, and $0.70 in food. Let the demand be $700 in clothing, $1400 in housing, and $2100 in food for the first quarter, and $1400 in clothing, $700 in housing, and $1400 in food in the second quarter.

Issue:

I am having a difficult time getting the inverse of (I-C). I have done the matrix inverse steps multiple times and I keep getting a different answer than what I get when I check the math. I'd love to see the step by step process of finding (I-C) -1 to see where I am going wrong. Completion of the problem would be helpful in checking my steps. I've attached a couple of my tries as photos. 

#9 clothing C4) hou ang CH) food (F)
30
D=istQ
2nd@
10
50
L00
14000
70 00*10 to
14000 Clea ded
7000
,30.50 olO
010
14000
L
als
10 0.70
2100 o
[Io 00
3 15C)7-1-5
O io O
O O10
351
-3 5
-1
Li07
-103
(I-C)!
7-1-5
100
-3 5 -
- 1
o io
3.
010 RZ+3R,
0 3
/-
01
0 3
1-
/R3+R,
5-5-- 007
0 32/7-73
| o
32
21
+ 256
712
21o13, Rzt'4ez-
112
32
21
224 224
224
56
4472
32
53
12,
o 20/129224 221 23* 7267
12/32/2107
2/1
132
32
5934 72
59903 559 207
Transcribed Image Text:#9 clothing C4) hou ang CH) food (F) 30 D=istQ 2nd@ 10 50 L00 14000 70 00*10 to 14000 Clea ded 7000 ,30.50 olO 010 14000 L als 10 0.70 2100 o [Io 00 3 15C)7-1-5 O io O O O10 351 -3 5 -1 Li07 -103 (I-C)! 7-1-5 100 -3 5 - - 1 o io 3. 010 RZ+3R, 0 3 /- 01 0 3 1- /R3+R, 5-5-- 007 0 32/7-73 | o 32 21 + 256 712 21o13, Rzt'4ez- 112 32 21 224 224 224 56 4472 32 53 12, o 20/129224 221 23* 7267 12/32/2107 2/1 132 32 5934 72 59903 559 207
I폐 | | 010
CE
3| 이1 | 5
•3 51
.7-1.5
t.3.5-1-
이|1 |0
10
TO
->
00
t10.3
10
D=
Q2
3.
tiok,
700
1400
10
14
이0
700
1400
2100
I
510
그
RIT2 0
510
15 175 5
700
3
14 7
15 15 35
->
0 |35니그
SI
32 16 T6
이 !
15 IS 35
32 T T6
RB-48
35
0.
10 14
70 14 701 R3+HOR2
이0 3|35
448|224 32
175 75 5
224 112
LISIS 35
32 161b
12
00I2
00
O F35
224
15
32
12
10
1002-6
이 0||2는
448
35
-IN
N/-
Transcribed Image Text:I폐 | | 010 CE 3| 이1 | 5 •3 51 .7-1.5 t.3.5-1- 이|1 |0 10 TO -> 00 t10.3 10 D= Q2 3. tiok, 700 1400 10 14 이0 700 1400 2100 I 510 그 RIT2 0 510 15 175 5 700 3 14 7 15 15 35 -> 0 |35니그 SI 32 16 T6 이 ! 15 IS 35 32 T T6 RB-48 35 0. 10 14 70 14 701 R3+HOR2 이0 3|35 448|224 32 175 75 5 224 112 LISIS 35 32 161b 12 00I2 00 O F35 224 15 32 12 10 1002-6 이 0||2는 448 35 -IN N/-
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