Q21) One of the following is correct for functions the f(x)=1,g(x)= x³ and h(x) = ln(x): a) f(x), g(x) and h(x) are linearly dependent c) W (f(x), g(x), h(x)) = 0 b) f(x), g(x) and h(x) are linearly independent d) W (f(x).g(x), h(x)) = 9 1 Q22) The inverse Laplace transform of H(s) = is: (35+2)(5-2) a) f(t) = et ¹ +¹e²t b) f(t) ==e+e-2t 8 c) f(t) ==e¹+¹²e-2t d)f(t) ==e¹+²e²t .

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Q21) One of the following is correct for functions the f(x) = 1, g(x) = x³ and h(x) = In(x):
a) f(x), g(x) and h(x) are linearly dependent
c) W (f(x), g(x), h(x)) = 0
b) f(x), g(x) and h(x) are linearly independent
d) W (f(x), g(x), h(x)) = 9
=
is:
Q22) The inverse Laplace transform of H(s):
¹ + e
(35+2)(S-2)
1-2t
a) f(t) =
b) f(t) = e+e-
8
8
1
c) f(t)
==³et+²e-²t
d)f (t) ==e+e²t
8
8
1
Transcribed Image Text:Q21) One of the following is correct for functions the f(x) = 1, g(x) = x³ and h(x) = In(x): a) f(x), g(x) and h(x) are linearly dependent c) W (f(x), g(x), h(x)) = 0 b) f(x), g(x) and h(x) are linearly independent d) W (f(x), g(x), h(x)) = 9 = is: Q22) The inverse Laplace transform of H(s): ¹ + e (35+2)(S-2) 1-2t a) f(t) = b) f(t) = e+e- 8 8 1 c) f(t) ==³et+²e-²t d)f (t) ==e+e²t 8 8 1
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