The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the solution of the system. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If the system is inconsistent, enter INCONSISTENT.) 100 4 0 10 1 0 0 15 (a) y = 10: 0 1 1 1 (Ь) 0 0 0 0 y = 10 0 4 0 10 1 0 0 0 5 (c) y = = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the solution of the system. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t.
If the system is inconsistent, enter INCONSISTENT.)
1 0 0 4
0 1 0 1
0 0 1 5
(a)
X =
y =
z =
1 0 1 4
(b)
0 1 1 1
0 0 0 0
X =
y =
z =
1 0 0 4
(c)
0 1 0 1
0 0 0 5
X =
y =
Z =
Transcribed Image Text:The augmented matrix of a system of linear equations is given in reduced row-echelon form. Find the solution of the system. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If the system is inconsistent, enter INCONSISTENT.) 1 0 0 4 0 1 0 1 0 0 1 5 (a) X = y = z = 1 0 1 4 (b) 0 1 1 1 0 0 0 0 X = y = z = 1 0 0 4 (c) 0 1 0 1 0 0 0 5 X = y = Z =
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