
How do I verify the vector space axioms? - Free Math Help Forum
Oct 13, 2015 · Determine whether the following sets, equipped with the given operations, are vector spaces. Verify all vectorspace axioms for those that are vector spaces; identify the …
Linear Algebra: Determine if V is a Vector space
Nov 28, 2019 · To prove this is a vector space, you have to use the Axioms of a vector space. [A1] Closure. The set is closed under addition I am confused as how you would show this. 3n …
vector spaces questions - Free Math Help Forum
Sep 11, 2007 · i am a university student starting on a linear algebra course and i am struggling with some vector spaces questions. Help would be greatly appreciated and solutions written …
Vector Space Help | Free Math Help Forum
Jan 29, 2005 · so, V is a vector space over C.”, it is very hard to know exactly what you mean. However, if you mean that V is the set of n-tuples with complex entries then V is certainly a v …
Can the Span of Three Vectors Be Contained in R^2?
Mar 31, 2022 · Take an arbitrary vector (x, y, z) from R3. Can you express it as a linear combination of your rows? What is a basis of a vextor space? What is a dimension of a vector …
find |2a+b|^2, if |vector b|=5, |vector a|=4 |2a-b|=7
Oct 30, 2021 · So, the a and b is vector coordinates, and |a| is lenght of vector, same as |2a-b|. I'm sorry that's all i can give you, that's how the task was given to me. View attachment 34121
Not a subspace of the complex numbers? - Free Math Help Forum
May 2, 2020 · The complex numbers form a vector space over the field of ordered paired of real numbers. At the most fundamental the complex numbers is simply an enlargement of the real …
Another vector question - Free Math Help Forum
May 21, 2011 · The problem reads: "A car is traveling at a speed of 50km/hr. The positive y-axis is north and the positive x-axis is east. Resolve the car's velocity vector into two components if …
Bases and Dimension: Prove the plane P is a subspace of R^3
Jan 13, 2017 · I'm on the basis and dimension (vector spaces) chapter of my textbook and need to prove the following: Consider the plane P in R^3 whose equation is x+y+z=0 prove P is a …
Find eqn of plane thru (2,2,1), (-1,1,-1), perp to 2x-3y+z=3
Sep 4, 2008 · We're starting out with vectors, planes, and 3d space and i'm having some real trouble understanding and visualizing some of this. Q: Find the equation of the plane that …