Quiz7S11mt210Sample1Ans

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Published on 31 Jan 2019
Department
Course
Professor
MT Q  S 
İ S. Y
M , 
Surname, Name:
Q . §. T I   M
Let A=
11 1
21 1
12 2
. Find A1, if it exists.
A
11 1
21 1
12 2
100
010
001
2R1+R2R2
(1)R1+R3R3
//
11 1
0 1 2
01 1
1 0 0
2 1 0
1 0 1
(1)R2+R3R3
//
11 1
0 1 2
0 0 1
1 0 0
2 1 0
3 1 1
(1)R3R3
//
11 1
0 1 2
0 0 1
1 0 0
2 1 0
311
2R3+R2R2
(1)R3+R1R1
//
11 0
0 1 0
0 0 1
2 1 1
412
311
(1)R2+R1R1
//
100
010
001
2 0 1
412
311
.
We see that Ais invertible and A1=
2 0 1
412
311
.REMARK. In the
algorithm to find A1, it is allowed to use more than one row operation at a
time.
1
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