Let tr r be a map defined by t, 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.

Let TR R be a map defined by T, 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.