Linear Transformation and Matrices
Let T:R2→R2 be the linear transformation defined by T(x, y)=(x, 0), where x, y∈R. Then the nullity of T is?
Let T:R2→R2 be the linear transformation defined by T(x, y)=(x, -y), where x, y∈R. Then the rank of T is?
Let T:R2→R3 be the linear transformation defined by T(x, y)=(x, x+y, 0), where x, y, z∈R. Then the nullity of T is?
Let T:R2→R3 be the linear transformation defined by T(x, y)=(x, -y, 0), where x, y, z∈R. Then the null space of T is?
Let T:R2→R2 be the linear transformation defined by T(x, y)=(x, y), where x, y∈R. Then the range space of T is?