* consider the following statements . Statement I ! Every vector space contains a zero vector Statement al A vector space may have more than one zero vector , which of the following s courect ? a ) statement ko false and statement 2 is true b ) Both statement are false c ) statement A s true and statement a is false J ) Both statement are true 8 suppose addition is defined on a vector space ago ( X y + + ( X z / yz ) = ( x, + x 2 - 2 , y+ + yz +4 ) Which of the following is the zero vector a ) ( - 214 ) b ) ( 0 1 6 ) ( ) ( 4 1 - 2 ) 2 ) 1 - 4 , 2 ) of ( 21 - 4 ) * There is no zero vector Let A be a 4X5 matous. which of the following is correct ? . ) the rank of the row space is less than the rank of the space b / the rank of the row space is equal to the rank of the columns space of The rank of the row and calumn space cannot be compared without being given the matrix 4 d) the rank of the column space is less than the rank of row spac 30 consider the following transformation T form R? to R3 defined by I ( x / y ) = ( x ty, x, z). which of the following is true ? a ) Addition and sealon multiplication are preserved b) scallan multiplication is preserved , but addition is not - / Neither addition nor scalon multiplication are preserved 4 ) Addition is preserved , but soular multiplication is not