Module 8 Linear Algebra: Definitions and Theorems

T(0) = 0

Is this a property of linear transformations?

(Answer True for Yes, False for No)

• True

• False

• True

• False

T(-a) = - T(a)

Is this a property of linear transformations?

(Answer True for Yes, False for No)

• True

• False

• True

• False

T(a –b) = T(a) – T(b)

Is this a property of linear transformations?

(Answer True for Yes, False for No)

• True

• False

• True

• False

• True

• False

• True

• False

Theorem 8.4 : Composition of Linear Transformations If T1 : Rn  Rm and T2 : Rm  Rk , then [T2oT1 ] = [T2 ][T1 ].

• True

• False

• True

• False