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Linear Algebra
Linear algebra is the detailed study of vector spaces. With applications in such disparate fields as sociology, economics, computer programming, chemistry, and physics, including its essential role in mathematically describing quantum mechanics and the theory of relativity, linear algebra has become one of the most essential mathematical disciplines for the modern world. Please direct all questions regarding matrices, determinants, eigenvalues, eigenvectors, and linear transformations into this category.
2,176 Questions
Is gravitational field scalar or vector?
The gravitational force fields are both scalar and vector. The forces are the first derivative of the energy.
The derivative is a Quaternion derivative X=[d/dr,Del].
The total energy is W = -mGM/r + cP and there are five forces,
F = XW= [d/dr,Del][-mGM/r, cP] = [vp/r -cDel.P, cdP/dr - Del mGM/r + cDelxP]
The scalar forces are :
vp/r centripetal scalar force
-cDel.P= -cp/r cos(PR) centrifugal scalar force
the vector forces are:
cdP/dr = -cp/r R/r tangent force
Del -mGM/r = vp/r R/r gradient force
cDelxP = RxP cp/r sin(PR) Curl force.
What is x 5y 20 linear equations?
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and resubmit.
All that appears for your question is three terms, separated by spaces. No equality sign and no symbols for binary operations.
What are forms of linear equations?
The two main forms are the slope (or gradient) intercept form: y = mx + c
or the general form ax + by + c = 0
The first form has key information about the equation readily available but the second is more easily generalised to 3 or more dimensions.
How can you use coordinate graphs to solve linear equations and linear inequalities?
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.
What fields of endeavor are represented in Nondeposit Trust Facilities?
Financial professionals play a key role, just as their supporting functions have played a role in the development of these new financial services. In addition to these, lawyers are heavily represented
How do you know if an equation is a linear function?
A linear function has and x and a y and neither one is raised to a power other than 1.
What is the linear equation used to represent a proportion?
y = cx where c is the constant of proportionality.
Why is the magnetic field a vector quantity?
Magnetism is a force.
Vector notation is required to indicate magnitude and direction of a force.
No, because a pound equals to 16 ounces. Therefore, a pound (lb) is heavier than 15 ounces (oz).
What is the importance of a dot product being equal to zero?
Vectors are said to be orthogonal if their dot product is zero.
Vectors in Rn are perpendicular if they are nonzero and orthogonal.
What are the disadvantages of bargraphs?
they are limited ,this means that they are only applicable for 1 precise value and the other one should be a range .a word and it does not lead to the comparism of 2 values of the same identity
Is linear algebra the same as geometry?
No, geometry is more depth into algebra, with formulas and shapes.
That's why algebra is a prerequisite
Is the equation 3s equals 2t linear or nonlinear?
A linear equation has no higher powers than 1. This is linear.
What is a non-repeating decimal called?
It could either be a terminating decimal or the decimal representation of an irrational number.
What is the use of dot product in Physics and explain?
Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.
What is the definition of unitary matrix?
It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:
A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means that
U*U = UU* = I. Where I is the identity matrix.
How do you factor a quadratic equation without a b value?
A quadratic, of the form ax2 + c can always be factorised as a(x2 + c/a).
It can be factorised into real linear factors only if c is negative. So suppose c = -d where d is positive. Then
ax2 - d = a(x2 - d/a) = a*[x - √(d/a)]*[x + √(d/a)]
The linear factors are rational only if d/a is a rational square.
Heat is definitely not matter. However, the question of whether light is matter has been found throughout history as a problem - independent experiments have proven that light can be both a particle (called a photon), and an electromagnetic wave. This is a basic principle of quantum physics, called particle-wave duality.
Is this equation linear or nonlinear x2 plus y3 4?
Without an equality sign the given terms can't be considered to be any kind of an equation.
