This question has been answered

Question

# Can I have a step-by-step explanation for the following question?

Let {v_1, v_2,....., v_n} be a basis for a vector space V .

(a) Let T : V --> W be a linear transformation.

Prove that if T(v_1) = T(v_2) = ... = T(v_n) = 0, then T is the zero transformation.

(b) Let T : V --> V be a linear transformation.

Prove that if, T(v_1) = v_1, T(v_2) = v_2 ....T(v_n) = v_n, then T is the identity transformation on V .

Answered by Expert Tutors

, ultrices ac magna. Fu

e vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac, diStep-by-step explanation

facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequat, ultrices ac magna. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam la

Subject:
Linear Algebra, Math

**443,685 students got unstuck** by Course

Hero in the last week

**Our Expert Tutors** provide step by step solutions to help you excel in your courses