Answer to Question #61908 in Linear Algebra for ABHIJIT MOHANTY

Question #61908

Let V be a vector space over a field F and let T : V → V be a linear operator. Show
T(W) ⊂ W for any subspace W of V if and only if there is a λ ∈ F such that Tv = λv
for all v ∈ V .

Expert's answer

Answer in progress...

Learn more about our help with Assignments: Linear Algebra

Comments

No comments. Be the first!

Leave a comment

Related Questions

1. Find the orthogonal canonical reduction of the quadratic form −x2 + y2 + z2− 6xy− 6xz+ 2yz .
2. Let (x1, x2, x3) and (y1, y2, y3) represent the coordinates with respect to the bases B1 = {(1,0,0)
3. Find the polynomial of degree 4 whose graph goes through the points (−3,−296),(−2,−60),(−2
4. Find the quadratic polynomial whose graph goes through the points (−2,10),(−2,10), (0,6),(0,6),
5. Solve the systems using the Gaussian elimination method. x+2y+z=4 2x-y-3z=2 x-8y-9z=-8 5x+5y =1
6. 4. a) The Gauss elimination method is used to solve the system of equations 6 x 4x x 1 + 2 + α 3
7. 4. a) The Gauss elimination method is used to solve the system of equations 6 x 4x x 1 + 2 + α 3

Who Can Help Me with My Assignment

There are three certainties in this world: Death, Taxes and Homework Assignments. No matter where you study, and no matter…
How to Finish Assignments When You Can’t

Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied for.…
How to Effectively Study for a Math Test

Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…