Using the matrix notation, write the system of linear equations: 2x1 – x4 = -1 5x1 + x2 = 1 X3 = 1 —х1 + 6х3 + х4 = 0 (x1 x2 is the vector of variables. Then, find the system solution as: x = A-'b, and write the value of x2. (Hint: Use the X3 as Ax = b, where x =

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
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Using the matrix notation, write the system of linear equations:
2x1 – X4
= -1
5x1 + x2
= 1
X3
= 1
—х1 + 6х3 + x4
= 0
(X1
x2
is the vector of variables. Then, find the system solution as: X = A¬'b, and write the value of x2. (Hint: Use the
X3
as Ax = b, where x =
Gauss-Jordan algorithm to find the inverse A- of the matrix A first).
Transcribed Image Text:Using the matrix notation, write the system of linear equations: 2x1 – X4 = -1 5x1 + x2 = 1 X3 = 1 —х1 + 6х3 + x4 = 0 (X1 x2 is the vector of variables. Then, find the system solution as: X = A¬'b, and write the value of x2. (Hint: Use the X3 as Ax = b, where x = Gauss-Jordan algorithm to find the inverse A- of the matrix A first).
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