Cs606 Assignment 3 Solution 2016 Tax
MTH501 assignment no 3 (due date 8 January 2017)
 is a subspace of that vector space
 is closed under linear combinations of pairs of vectors: for any vectors and scalars the vector is in
 is closed under linear combinations of any number of vectors: for any vectors and scalars the vector is in .
Idea About Problem no 2
S = {  ,  } 
Of vectors in the vector space R^{3}, find a basis for span S.
The set S = {v_{1}, v_{2}} of vectors in R^{3} is linearly independent if the only solution of
c_{1}v_{1} + c_{2}v_{2} = 0
is c_{1}, c_{2} = 0.
In this case, the set S forms a basis for span S.
Otherwise (i.e., if a solution with at least some nonzero values exists), S is linearly dependent.
If this is the case, a subset of S can be found that forms a basis for span S.
With our vectors v_{1}, v_{2}, (*) becomes:
c_{1}  +  c_{2}  = 
Rearranging the left hand side yields
 = 
The matrix equation above is equivalent to the following homogeneous system of equations
 
 the trivial solution only (meaning that S is linearly independent), or
 the trivial solution as well as nontrivial ones (S is linearly dependent).



1 c_{1}  =  0 
1 c_{2}  =  0 
0  =  0 
Therefore the set S = {v_{1}, v_{2}} is linearly independent.
Consequently, the set S forms a basis for span S and many set of solution.
2005 Connecticut Code  Sec. 53a139. Forgery in the second degree: Class D felony.
Sec. 53a139. Forgery in the second degree: Class D felony. (a) A person is guilty of forgery in the second degree when, with intent to defraud, deceive or injure another, he falsely makes, completes or alters a written instrument or issues or possesses any written instrument which he knows to be forged, which is or purports to be, or which is calculated to become or represent if completed: (1) A deed, will, codicil, contract, assignment, commercial instrument or other instrument which does or may evidence, create, transfer, terminate or otherwise affect a legal right, interest, obligation or status; or (2) a public record or an instrument filed or required or authorized by law to be filed in or with a public office or public servant; or (3) a written instrument officially issued or created by a public office, public servant or governmental instrumentality; or (4) a prescription of a duly licensed physician or other person authorized to issue the same for any drug or any instrument or device used in the taking or administering of drugs for which a prescription is required by law.
(b) "Drugs" as used in this section includes all drugs except controlled drugs as defined in section 21a240.
(c) Forgery in the second degree is a class D felony.
(1969, P.A. 828, S. 141; 1971, P.A. 871, S. 38; P.A. 76292, S. 2.)
History: 1971 act removed exception re narcotic drugs in Subsec. (b); P.A. 76292 made second degree forgery a Class D felony rather than a Class A misdemeanor.
Cited. 201 C. 125, 126. Cited. 207 C. 555, 560. Defendant may be found guilty of forgery in the second degree if the state establishes that defendant, with intent to deceive another, falsely made, possessed or altered a written instrument that he or she knew to be forged. 252 C. 229.
Cited. 8 CA 342, 343. Cited. 11 CA 161, 162, 166. Cited. 28 CA 521, 523, 530, 532. Cited. 37 CA 72, 80. Cited. 42 CA 790. Forgery statute, Sec. 53a138 et seq. Cited. 47 CA 1.
Cited. 34 CS 606, 610.
Subsec. (a):
Subdiv. (1). Cited. 169 C. 581. Subdiv. (2) cited. 195 C. 421, 423. Subdiv. (2) cited. 198 C. 68, 69. Subdiv. (1) cited. Id., 158, 160. Subdiv. (2) cited. 199 C. 146, 148. Cited. 201 C. 125, 149, 151, 153. Subdiv. (2) cited. Id., 125, 149, 150. Subdiv. (1) cited. 207 C. 555, 556, 559. Subdiv. (1) cited. 235 C. 469, 470.
Subdiv. (2) cited. 5 CA 473, 474. Subdiv. (1) cited. 14 CA 1, 2. Subdiv. (2) cited. 24 CA 493, 494. Subdiv. (3) cited. Id. Cited. 28 CA 521, 523. Subdiv. (1) cited. 37 CA 72, 78. Subdiv. (1) cited. 42 CA 790. Subdiv. (2) cited. 47 CA 1.
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