Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Matrix Algebra:

Consider the following linear equations -3x + 5y + 8z -3x + (25 – k)y + 7z = -6 = -4 -3x + 5y + (10 – k)z = k + 10
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Transcribed Image Text:Consider the following linear equations -3x + 5y + 8z -3x + (25 – k)y + 7z = -6 = -4 -3x + 5y + (10 – k)z = k + 10
d) If the equations have infinite number of solutions, determine the value of k = 20 20 e) Suppose x2 = t with t as any real number. Express the infinite solutions for the value of k determined in part d) as X1 X2 t+ X3 Note: only input fractions, e.g. 3/2 or integers.
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Transcribed Image Text:d) If the equations have infinite number of solutions, determine the value of k = 20 20 e) Suppose x2 = t with t as any real number. Express the infinite solutions for the value of k determined in part d) as X1 X2 t+ X3 Note: only input fractions, e.g. 3/2 or integers.
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