# Get help with vectors and spaces

Recent questions in Vectors and spaces
treslagosnv 2022-01-21

### What is the angle between <1,3,−8> and <4,1,5>

maryam.waleed2020 2022-01-20

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2022-01-10

### True or False: 4. A vector is a linear combination if u can be written as a sum of scalar multiples of those vectors 5. If $u,v\in V$, then $u-v=-u$. 6. The objects in a vector space are called vectors.

zakinutuzi 2022-01-07

### Let V and W be vector spaces, and let T and U be nonzero linear transformations from V into W. If R(T) ∩ R(U) = {0}, prove that {T, U} is a linearly independent subset of L(V, W).

b2sonicxh 2022-01-07

### Let V, W, and Z be vector spaces, and let $T:V\to W$ and $U:W\to Z$ be linear. If U and T are one-to-one and onto, prove that UT is also

Kathleen Rausch 2022-01-07

### Let u and v be distinct vectors of a vector space V. Show that if {u, v} is a basis for V and a and b are nonzero scalars, then both {u+v, au} and {au, bv} are also bases for V.

Michael Maggard 2022-01-07

### Write formulas for the unit normal and binormal vectors of a smooth space curve r(t)

Jason Yuhas 2022-01-07

### Label the following statements as being true or false. (a) If V is a vector space and W is a subset of V that is a vector space, then W is a subspace of V. (b) The empty set is a subspace of every vector space. (c) If V is a vector space other than the zero vector space {0}, then V contains a subspace W such that W is not equal to V. (d) The intersection of any two subsets of V is a subspace of V. (e) An $n×n$ diagonal matrix can never have more than n nonzero entries. (f) The trace of a square matrix is the product of its entries on the diagonal.

rheisf 2022-01-06

### determine whether W is a subspace of the vector space. $W=\left\{\left(x,y\right):x-y=1\right\},V={R}^{2}$

Frank Guyton 2022-01-06

### Let W be a subset of the vector space V where u and v are vectors in W. If ($u\oplus v$) belongs to W, then W is a subspace of V: Select one: True or False

stop2dance3l 2022-01-06

### Label the following statements as being true or false. (a) There exists a linear operator T with no T-invariant subspace. (b) If T is a linear operator on a finite-dimensional vector space V, and W is a T-invariant subspace of V, then the characteristic polynomial of Tw divides the characteristic polynomial of T. (c) Let T be a linear operator on a finite-dimensional vector space V, and let x and y be elements of V. If W is the T-cyclic subspace generated by x, W

Marenonigt 2022-01-06

### If V is a finite dimensional vector space and W is a subspace, the W is finite dimensional. Prove it.

interdicoxd 2022-01-06

### Is $\left\{\left(1,4,–6\right),\left(1,5,8\right),\left(2,1,1\right),\left(0,1,0\right)\right\}$ a linearly independent subset of ${R}^{3}$?

Kathy Williams 2022-01-05

### Find the dimension of the vector space U of all linear transformations of V into W for each of the following: (a) $V={R}^{2},W={R}^{3}$ (b) $V={P}_{2},W={P}_{1}$ (c) $V={M}_{21},W={M}_{32}$ (d) $V={R}_{3},W={R}_{4}$

One of the most fascinating parts of linear algebra is dealing with the vectors and vector spaces. You can start with the equations or examine the solutions that have already been provided to the most common questions. Since these are mostly the same, you will find sufficient help as you try to challenge your homework duties. Remember to use scalars and check your objects accurately. We also provide vectors math help by offering various solutions based on Physics or specific engineering problems. Make sure that you browse through the available posts and seek something that sounds similar to your task.