Recent questions in Linear algebra

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Annabel Zamora 2023-04-01

An object moving in the xy-plane is acted on by a conservative force described by the potential energy function $U(x,y)=\alpha (\frac{1}{{x}^{2}}+\frac{1}{{y}^{2}})$ where $\alpha$ is a positive constant. Derivative an expression for the force expressed terms of the unit vectors $\overrightarrow{i}$ and $\overrightarrow{j}$ .

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Oswaldo Riley 2023-03-31

I need to find a unique description of Nul A, namely by listing the vectors that measure the null space

$A=\left[\begin{array}{ccccc}1& 5& -4& -3& 1\\ 0& 1& -2& 1& 0\\ 0& 0& 0& 0& 0\end{array}\right]$

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Aron Campbell 2023-03-30

T must be a linear transformation, we assume. Can u find the T standard matrix.$T:{\mathbb{R}}^{2}\to {\mathbb{R}}^{4},T\left({e}_{1}\right)=(3,1,3,1)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}T\left({e}_{2}\right)=(-5,2,0,0),\text{}where\text{}{e}_{1}=(1,0)\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}{e}_{2}=(0,1)$

?Linear algebraAnswered question

Jacoby Blevins 2023-03-30

Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7).

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R.

b) Find the area of the triangle PQR.

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7).

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R.

b) Find the area of the triangle PQR.

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atentan4t9j 2023-03-25

Consider two vectors A=3i - 1j and B = - i - 5j, how do you calculate A - B?

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Kira Yoder 2023-03-23

What is the dot product of $<1,-4,5>$ and $<-5,7,3>$?

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Oswaldo Riley 2023-03-23

Let vectors A=(1,0,-3) ,B=(-2,5,1) and C=(3,1,1), how do you calculate 2A-3(B-C)?

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miljanwpd2 2023-03-23

What is the projection of $<6,5,3>$ onto $<2,-1,8>$?

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Arturo Callahan 2023-03-18

Which of the following is not a vector quantity?

A)Weight;

B)Nuclear spin;

C)Momentum;

D)Potential energy

A)Weight;

B)Nuclear spin;

C)Momentum;

D)Potential energy

Linear algebraAnswered question

Marisa Singleton 2023-03-17

How to find all unit vectors normal to the plane which contains the points $(0,1,1),(1,-1,0)$, and $(1,0,2)$?

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Kobe Dixon 2023-03-16

How to find unit vector perpendicular to plane: 6x-2y+3z+8=0?

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umatisi6ar 2023-03-11

How to find done in moving a particle P (0,0) to Q(4,7) if the magnitude and direction of the force is given by $v=<1,4>$?

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Beau Mckee 2023-03-11

How do I find the vertical component of a vector?

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Bruno Schneider 2023-03-11

How would you find a unit vector perpendicular to plane ABC where points are A(3,-1,2), B(1,-1,-3) and C(4,-3,1)?

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Karlee Rivas 2023-03-09

What is the value of $(A$x$B{)}^{2}$ + $(A\cdot B)}^{2$?

Finding detailed linear algebra problems and solutions has always been difficult because the textbooks would never provide anything that would be sufficient. Since it is used not only by engineering students but by anyone who has to work with specific calculations, we have provided you with a plethora of questions and answers in their original form. It will help you to see some logic as you are solving complex numbers and understand the basic concepts of linear Algebra in a clearer way. If you need additional help or would like to connect several solutions, compare more than one solution as you approach your task.