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(Section 2.2)
2. a. Use the inversion algorithm to find the inverse of the matrix, if the inverse
exists.
0 0 0
1
0 0
1
5
3
5
7
b. Find all values of c, if any, for which the given matrix is invertible.
C
1
0
1
C
1
c. Show that the matrices A and B are row equivalent by finding a sequence
of elementary row operations that produces B from A, and then use that
result to find a matrix C such that CA = B.
2
1
O
6
9
A =
-1
1
B =
-5
0
3
0

See the complete... View the full answer

R, = R, - R3/c.
O
O
- Interange . R243 R3
R2 = Rx - (c- VC) R3
O
10
0 1
O
: .The matrin is
oo
Invertible. for.
Cto , cf vz , c * - vz.
o
C) A =
210
6 9 4
- 1
0
B =
- 5 -10
3
- 1-2 - 1

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