Let t: r r be a map defined by tox, y)= (x +y, x-y) which of the following statement is correct? (a) t is linear and its kernel has infinite number of element o

Let T: R R be a map defined by TOx, y)= (x +y, X-y) Which of the following statement is correct? (a) T is linear and its kernel has infinite number of element of R. (b) T is not linear. (c) The kernel of T consist of only two element of R Nullity of T is zero.