# Get help with vectors and spaces

Recent questions in Vectors and spaces
Marla Payton 2022-01-05

### What is the connection between vector functions and space curves?

Linda Seales 2022-01-05

### Show that the xy plane $W=\left(x,y,0\right)$ in ${\mathbb{R}}^{3}$ is generated by (i) $u=\left[\begin{array}{c}1\\ 2\\ 0\end{array}\right]$ and $v=\left[\begin{array}{c}0\\ 1\\ 0\end{array}\right]$ (ii) $u=\left[\begin{array}{c}2\\ -1\\ 0\end{array}\right]$ and $v=\left[\begin{array}{c}1\\ 3\\ 0\end{array}\right]$

Carol Valentine 2022-01-05

### What is Null Space?

kramtus51 2022-01-05

### Determine whether the set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all real numbers x with the standard operations of addition and multiplication. $\circ$ V is not a vector space, and Axioms 7,8,9 fail to hold. $\circ$ V is not a vector space, and Axiom 6 fails to hold. $\circ$ V is a vector space. $\circ$ V is not a vector space, and Axiom 10 fails to hold. $\circ$ V is not a vector space, and Axioms 6 - 10 fail to hold.

idiopatia0f 2022-01-05

### Let V be a vector space, and let $T:V\to V$ be linear. Prove that ${T}^{2}={T}_{0}$ if and only if $R\left(T\right)\subseteq N\left(T\right).$

dedica66em 2022-01-05

### Let V and W be vector spaces and $T:V\to W$ be linear. Let $\left\{{y}_{1},\dots ,{y}_{k}\right\}$ be a linearly independent subset of $R\left(T\right)$. If $S=\left\{{x}_{1},\dots ,{x}_{k}\right\}$ is chosen so that $T\left({}_{\xi }\right)={y}_{i}$ for $i=1,\dots ,k$, prove that S is linearly independent.

prsategazd 2022-01-05

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

Annette Sabin 2022-01-05

2022-01-04

### Find the directional derivative of at a given point in the direction indicated by the angle theta. F (x,y)=x^3y^4+x^4y^3, (1,1)

Nicontio1 2022-01-04

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

Kelly Nelson 2022-01-04

### Determine the eigenvalues, eigenveltI and eigenspace of the follewing matix $\left[\begin{array}{cc}1& 3\\ 5& 3\end{array}\right]$

Joyce Smith 2022-01-04

### Let V and W be vector spaces, let $T:V\to W$ be linear, and let $\left\{{w}_{1},{w}_{2},\dots ,{w}_{k}\right\}$ be a linearly independent set of k vectors from R(T). Prove that if $S=\left\{{v}_{1},{v}_{2},...,{v}_{k}\right\}$ is chosen so that $T\left({v}_{i}\right)={W}_{i}$ for $i=1,2,\dots ,k,$ then S is linearly independent.

killjoy1990xb9 2022-01-04

### Prove that If W is a subspace of a vector space V and ${w}_{1},{w}_{2},\dots ,{w}_{n}$ are in W, then ${a}_{1}{w}_{1}+{a}_{2}{w}_{2}+\dots +{a}_{n}{w}_{n}\in W$ for any scalars ${a}_{1},{a}_{2},\dots ,{a}_{n}$.

Holly Guerrero 2022-01-04

### Problem 2: If $V={R}^{3}$ is a vector space and let H be a subset of V and is defined as $H=\left\{\left(a,b,c\right):{c}^{2}+{b}^{2}=0,a\ge 0\right\}$. Show that H is not subspace of vector space Problem 3 Let $V={R}^{3}$ be a vector space and let W be a subset of V, where $W=\left\{\left(a,b,c\right):{a}^{2}={b}^{2}\right\}$. Determine whether W is a subspace of vector space or not.

widdonod1t 2022-01-04

### (a) Suppose U and W are subspaces of a vector space V. Prove that is a subspace of V. (b) Give an example of two subspaces U and W and a vector space V such that is not a subspace of V.

Betsy Rhone 2022-01-04

### Determine whether the set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail. The set of all pairs of real numbers of the form (x,0) with the standard operations on ${\mathbb{R}}^{2}$. $\circ$ V is a vector space. $\circ$ V is not a vector space, and Axiom 7,8, 9 fails to hold. $\circ$ V is not a vector space, and Axioms 4 and 5 fail to hold. $\circ$ V is not a vector space, and Axioms 2 and 3 fail to hold. $\circ$ V is not a vector space, and Axiom 10 fails to hold.

interdicoxd 2022-01-04

### For which value of $k$ the vector $u=\left[\begin{array}{c}1\\ -2\\ k\end{array}\right]$ is a linear combination of the vectors ${v}_{1}=\left[\begin{array}{c}3\\ 0\\ -2\end{array}\right]$ and ${v}_{2}=\left[\begin{array}{c}2\\ -1\\ -5\end{array}\right]$.

Michael Maggard 2021-12-27

### Find the distance between two planes: ${C}_{1}:x+y+2z=4$ and ${C}_{2}:3x+3y+6z=18$ And find the other plane ${C}_{3}\ne {C}_{1}$ that has the distance d po the plain ${C}_{2}$

Knight_Snape 2021-12-16

### f(x)=$\int \sqrt{1-{x}^{2}\phantom{!}}dx$

Ben Shaver 2021-12-16

### How to find absolute value of a vector in this question? a = {1, 3, 5} Then in formulas see this |a|

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.