Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The given vectors are solutions of a system X' = AX. Determine whether the vectors form a fundamental set on the interval (-o, o).
X, =
e-8t x, =
e-6t
O Yes, since the set X,, X, is linearly independent for -o < t < ∞.
O Yes, since the set X,, X, is linearly dependent for -o <t < ∞.
O No, since the set X,, X, is linearly independent for -∞ < t < o.
O No, since the set X,, X, is linearly dependent for -o <t < o.
O There is not enough information.
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Transcribed Image Text:The given vectors are solutions of a system X' = AX. Determine whether the vectors form a fundamental set on the interval (-o, o). X, = e-8t x, = e-6t O Yes, since the set X,, X, is linearly independent for -o < t < ∞. O Yes, since the set X,, X, is linearly dependent for -o <t < ∞. O No, since the set X,, X, is linearly independent for -∞ < t < o. O No, since the set X,, X, is linearly dependent for -o <t < o. O There is not enough information.
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