7. Given the two 4 x 4 lincar systems having the same coefficient matrix: X - + 21 - = 6. I- X2 + 2-L = 1, -I+X 4, I-As +4 = I, 2r, + +3-4x =-2. -X2 +- X = 5; 21, + 1; +3-41, = 2, -1 + - = -1. a. Solve the lincar systems by applying Gaussian elimination to the augmented matrix 2-1 -1 2. -1 3. -4 -2 b. Solve the linear systems by finding and multiplying by the inverse of 1 -1 2 -1 1 -1 1 2 1 -4 -1 1 Which method requires more operations? с.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. Given the two 4 x 4 linear systems having the same coefficient matrix:
X -I + 21, - K = 6.
I - X2 + 21 - L = 1,
-I+X4=4.
21, +2 +3-4x = -2,
2x, +I; +3-4L = 2,
-X2 +I- X = 5;
-I: +- = -1.
a. Solve the linear systems by applying Gaussian elimination to the augmented matrix
-1
2-1
4
2.
3 -4
:-2
-1
-1
5 -1
b. Solve the linear systems by finding and multiplying by the inverse of
-1
2
-1
-1
1
3
-4
-1
1
c.
Which method requires more operations?
Transcribed Image Text:7. Given the two 4 x 4 linear systems having the same coefficient matrix: X -I + 21, - K = 6. I - X2 + 21 - L = 1, -I+X4=4. 21, +2 +3-4x = -2, 2x, +I; +3-4L = 2, -X2 +I- X = 5; -I: +- = -1. a. Solve the linear systems by applying Gaussian elimination to the augmented matrix -1 2-1 4 2. 3 -4 :-2 -1 -1 5 -1 b. Solve the linear systems by finding and multiplying by the inverse of -1 2 -1 -1 1 3 -4 -1 1 c. Which method requires more operations?
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