Definitions

If T:u→V is a lineaer transformation then T(u+v) = ---

• T(u)+T(v)

• T(u)-T(v)

• T(u)*T(v)

• T(u)/T(v)

If T:u→V is a lineaer transformation then T(αu)= ---

• α+u

• u

• αT(u)

• α-u

Vectors that line on a line are -------

• co planar

• collinear

• perpendicular

• symmetric

Vectors that line on a plane are -------

• collinear

• co planar

• perpendicular

• symmetric

If determinant value of a (3xX) matrix is zero then the vectors are -------

• linearly dependent

• linearly independent

• perpendicular

• symmetric

If determinant value of a (3xX) matrix is not zero then the vectors are -------

• linearly dependent

• linearly independent

• perpendicular

• symmetric

kernel of T = ----

• { uεU / T(u)=0)

• { uεU / T(u)=1)

• { uεU / T(u)=u)

• { uεU / T(u)=-u)

Range of T =---

• {T(u) / uεU}

• {T(u) =0/ uεU}

• {T(u) =1/ uεU}

• {T(u)=u / uεU}

Dimension of ker(T)= ---

• nullity

• rank

• basis

• range

Dimension of range = ----

• nullity

• rank

• basis

• kernel