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Consider the following system of equations: tx+y+z= 9 x + ty+z=9 x+y+tz = 9 Depending on the value of t, there can be zero, one, or an infinite number of solutions.

Consider the following system of equations: tx+y+z= 9 x + ty+z=9 x+y+tz = 9 Depending on the value of t, there can be zero, one, or an infinite number of solutions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following system of equations: tx + y + z = 9 x + ty +z = 9 x+y+tz = 9 Depending on the value of t, there can be zero, one, or an infinite number of solutions. (a) For what value of t is there an infinite number of solutions? Enter this in the first box. (b) For what value of t is there no solution? Enter this in the second box. (c) For all other values of t, the solution is unique, and the values of x, y and z are equal. Determine their value for the case t = -1, and enter it into the third box.
Transcribed Image Text:Consider the following system of equations: tx + y + z = 9 x + ty +z = 9 x+y+tz = 9 Depending on the value of t, there can be zero, one, or an infinite number of solutions. (a) For what value of t is there an infinite number of solutions? Enter this in the first box. (b) For what value of t is there no solution? Enter this in the second box. (c) For all other values of t, the solution is unique, and the values of x, y and z are equal. Determine their value for the case t = -1, and enter it into the third box.
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