Question

Asked Dec 27, 2019

8 views

Let W1 and W2 be subspaces of a vector space V. Prove that W1 ∪W2 is a subspace of V if and only if W1 ⊆ W2 or W2 ⊆ W1.

Step 1

It is given that W_{1} and W_{2} are the two subspaces of the vector space V.

Step 2

*Proof (ii): *

Find answers to questions asked by student like you

Show more Q&A

Q: Given an invertible 2 × 2 matrix A and the nonzero real number k, find the inverse of kA in terms of...

A: Given matrix A and the scalar k.

Q: Given the inequality y ≤ 2x + 1, the bounding line y = 2x+ 1 is drawn as a (dashed/solid) line.

A: Click to see the answer

Q: José must choose between two job offers. The first job pays $50,000 the first year. Each year therea...

A: Given: -

Q: A van is purchased new for $29,200. a. Write a linear function of the form y = mt + b to represent ...

A: a. It is given that, the van was purchased at the rate $29,200 and the vehicle is depreciated by $29...

Q: A window above a door is to be made in the shape of a semiellipse. If the window is 10 ft at the bas...

A: A window above a door is to be made in the shape of a semiellipse. If the window is 10 ft at the bas...

Q: An aquarium is 16 in. high with volume of 4608 in.3(approximately 20 gal). If the amount of glass us...

A: Click to see the answer

Q: Plant fertilizers are categorized by the percentage of nitrogen (N), phosphorous (P), and potassium ...

A: Let the percentage of nitrogen (N), phosphorus (P) and potasium in fertilizer is a, b and c respecti...

Q: Use the remainder theorem to find the remainder when f(x) is divided by x +2. Then use the factor th...

A: The remainder theorem: The polynomial of degree at least 1; f(x) = 4x6 + 39 x3 + 56 and -2 is a re...

Q: For a constant real number k, the inequality x<k represents the half-plane to the (left/right) of...

A: Click to see the answer