4)
Legal capital is the capital the firm is authorised by its chartered documents to collect though of shares. In many states’ shares are issued at par, so it also becomes the legal capital.
Hence, correct option is D. Legal capital
Prove that language L on {a, b}, L={ v | v = vR} is not regular 4. (20 points) Prove that language Lon{a, b}, L={v | V = VR} is not regular.
Prove that language L on {a, b}, L={ v | v = vR} is not regular use string ab^nab^na
Prove that language Lon {a, b}, L={ v . v = vR} is not regular.
Prove that language Lon {a, b}, L={v | v = vR} is not regular.
16: For each of the following linear transformations L : V → W and ordered bases B of V and D of W, find the matrix M representing L, the matrix M such that L(v)ID = M[y|B- 2p2x Jof(t) dt We were unable to transcribe this imageClo,n, L(f) = f' + 2 G f(t) dt 16: For each of the following linear transformations L : V → W and ordered bases B of V and D of W, find the...
With Proper Steps and explanation Prove that language Lon {a, b}, L={v | V = VR} is not regular.
3.2.1: Let V be a vector space with Basis B and let L be an operator on V. L2 means the operator applied twiceL2(v) = L(L(v)). Show that the Matrix of L2 is the square of the matrix of L, i.e LL? Demonstrate this problem for the space V span (1, t, t2, t3) and let L d/dt (so L2d/dt) SO
Let (V,〈 , 〉v) and (W.〈 , 〉w) be finite-dimensional inner product spaces. Recall that the adjoint L* : W → V of a linear function L Hom(V,W) is completely determined by the equation <L(v), w/w,-(v, L* (w)של for every v є V and w є W . Use this to prove the following facts: (a) (Li + L2)* = Lİ + L: for Li, L26 Horn(V,W) (b) (α L)* =aL' for a R and L€ Horn(V,W) (c) (L*)* =...
Prove that language Lon {a, b}, L={ vv = v*} is not regular.
3. Let B ERnxn be a symmetrie and P.D. matrix. Show that l s (o Bu) (B-v) for any nonzero v E R", and that the equality holds if and only if v is an eigenvector of B. (Hnt: note that llt -W/2t, B-1/2v), and use the Cauchy-Schwarz inequality.) 4. Let (ak) be a real sequence such that for each k, either akil > ak or akt? where, is a constant independent of k. Show that a 2 min(ai, T)...