magnitude =
T = |T| x OB / |OB|
= T (-6i + 3j + 4k) /
= -0.77Ti + 0.385Tj + 0.51Tk
similarly F = 0.44Fi - 0.22Fj -0.88Fk
and N = 0.36Ni + 0.9Nj - 0.18Nk
W = -5j
As the system is in equilibrium
sum of all vectors should be zero. Hence
T+F+N+W = 0
-0.77T + 0.44F +0.36N = 0
0.385T - 0.22F + 0.9N = 5
0.51T -0.88F -0.18N = 0
solving above 3 eqns
T = 2.43
F = 0.46
N = 4.63
Given four vector s at equilibrium: T, N, F, and W in a 3 dimensional space...
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9.4 (Idempotent endomorphisms) Let V be an n-dimensional vector space over Kand let End(V) such that f-f. a) Show that fis diagonalizable and that V-rge f b) Determine x and . f ker f.
9.4 (Idempotent endomorphisms) Let V be an n-dimensional vector space over Kand let End(V) such that f-f. a) Show that fis diagonalizable and that V-rge f b) Determine x and . f ker f.
please answer all qustion on expination needed
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Vectors pure and applied
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Problem 4. Give an example of a linear operator T on a
finite-dimensional vector space such that T is not nilpotent, but
zero is the only eigenvalue of T. Characterize all such
operators.
Problem 5. Let A be an n × n matrix whose characteristic
polynomial splits, γ be a
cycle of generalized eigenvectors corresponding to an
eigenvalue λ, and W be the subspace spanned
by γ. Define γ′ to be the ordered set obtained from γ by
reversing the...
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Show work
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