Representative matrix and constant system of linear equations Ax = b, where X= [X1 X2 X3]T 5 7 60 4 -2 3 1 8 2 11 b = 22 55 A = Determine which of the following statements is true about X or about elementary row operations (OBE)? a. x1 =2, x2 = 9, X3=1 b. The values of the 2 components of X are x1 = 1, X3 = 3 c. The A31 element can be removed by multiplying the first row by negative two and then adding it to the third row d. Elements of A21 can be removed by multiplying the first row by a negative half and then adding it to the second row e. In Gauss Jordan elimination, the matrix. will turn into an upper triangular matrix where the non-diagonal matrix elements are not all zero.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Representative matrix and constant system of linear equations Ax = b, where X= [X1 X2 X3]T
4
5 7
60
-2 3 1 b = 22
2 11
8
55
A =
Determine which of the following statements is true about X or about elementary row
operations (OBE)?
a. x1 =2, x2 = 9, X3=1
b. The values of the 2 components of X are x1 = 1, X3 = 3
c. The A31 element can be removed by multiplying the first row by negative two and then
adding it to the third row
d. Elements of A21 can be removed by multiplying the first row by a negative half and then
adding it to the second row
e. In Gauss Jordan elimination, the matrix. will turn into an upper triangular matrix where the
non-diagonal matrix elements are not all zero.
Transcribed Image Text:Representative matrix and constant system of linear equations Ax = b, where X= [X1 X2 X3]T 4 5 7 60 -2 3 1 b = 22 2 11 8 55 A = Determine which of the following statements is true about X or about elementary row operations (OBE)? a. x1 =2, x2 = 9, X3=1 b. The values of the 2 components of X are x1 = 1, X3 = 3 c. The A31 element can be removed by multiplying the first row by negative two and then adding it to the third row d. Elements of A21 can be removed by multiplying the first row by a negative half and then adding it to the second row e. In Gauss Jordan elimination, the matrix. will turn into an upper triangular matrix where the non-diagonal matrix elements are not all zero.
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