# Simplifying Linear Algebra: Techniques, Solutions, and Examples

Recent questions in Linear algebra
Linear algebraAnswered question
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 $U\left(x,y\right)=\alpha \left(\frac{1}{{x}^{2}}+\frac{1}{{y}^{2}}\right)$ where $\alpha$ is a positive constant. Derivative an expression for the force expressed terms of the unit vectors $\stackrel{\to }{i}$ and $\stackrel{\to }{j}$.

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

Linear algebraAnswered question
Aron Campbell 2023-03-30

## T must be a linear transformation, we assume. Can u find the T standard matrix.?

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 PQRConsider the points belowP(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.

Linear algebraAnswered question
atentan4t9j 2023-03-25

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

Linear algebraAnswered question
Kira Yoder 2023-03-23

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

Linear algebraAnswered question
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)?

Linear algebraAnswered question
miljanwpd2 2023-03-23

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

Linear algebraAnswered question
Arturo Callahan 2023-03-18

## Which of the following is not a vector quantity? 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 $\left(0,1,1\right),\left(1,-1,0\right)$, and $\left(1,0,2\right)$?

Linear algebraAnswered question
Isis Everett 2023-03-16

## What is a rank $1$ matrix?

Linear algebraAnswered question
Kobe Dixon 2023-03-16

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

Linear algebraAnswered question
Kai Kerr 2023-03-13

## Can we say that a zero matrix is invertible?

Linear algebraAnswered question
Autumn Hebert 2023-03-12

## How do I find the sum of three vectors?

Linear algebraAnswered question
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 $v=<1,4>$?

Linear algebraAnswered question
Beau Mckee 2023-03-11

## How do I find the vertical component of a vector?

Linear algebraAnswered question
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)?

Linear algebraAnswered question
pwysi85o 2023-03-11

## What is an augmented matrix?

Linear algebraAnswered question
1giebgm 2023-03-11

## What does determinant of $0$ mean?

Linear algebraAnswered question
Karlee Rivas 2023-03-09

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

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.