verse Matrix find the inverse of the matrix - -1 A = 1 -1 -6 1 -1 1 ngin by adjoining the identity matrix to A to form the following matrix R2 + R, → R2 1 -3 -3 -1 0100 0 -10 1 0 30 01 -1 | I= 1 1 -2 -4 -1 -6 obtain [I | A), we apply elementary row operations in the following way 1 -1 100 R +(-1) R, + R -1-1 6 2 3 0 01 In the above row operation, what is the value of nin R? ote H arise, input exact fractions. For example, if your answer is - write -2/3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Inverse Matrix
To find the inverse of the matrix
1
-1
A =
1
-1
-6
2
3
1
-1 0
1 0 0
Begin by adjoining the identity matrix to A to form the following matrix
R2 + Rn → R2
1
-3
-3
1
-1
0 1 0
I] =
1
-1
1
0 1
-2
-4 -1
-6
3
0 0 1
to obtain [I | A-1], we apply elementary row operations in the following way
1
-1
1 0 0
R2 + (-1) R1 → R2
1
-1
-1 1
-6
3
0 0 1
In the above row operation, what is the value of nin R,?
Note f arise, input exact fractions. For example, if your answer is - write -2/3.
Transcribed Image Text:Inverse Matrix To find the inverse of the matrix 1 -1 A = 1 -1 -6 2 3 1 -1 0 1 0 0 Begin by adjoining the identity matrix to A to form the following matrix R2 + Rn → R2 1 -3 -3 1 -1 0 1 0 I] = 1 -1 1 0 1 -2 -4 -1 -6 3 0 0 1 to obtain [I | A-1], we apply elementary row operations in the following way 1 -1 1 0 0 R2 + (-1) R1 → R2 1 -1 -1 1 -6 3 0 0 1 In the above row operation, what is the value of nin R,? Note f arise, input exact fractions. For example, if your answer is - write -2/3.
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