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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

What are the uses of algebra?

There are many uses of algebra. Algebra is used mosty to find the value of the variable in a mathematic situation. Example- 3x=66 (divide by 3x on both sides)= 66/ by 3 is 22 solution- x=22 ----

How do you solve a worded linear equation like this Dave walks one lap of an oval at 2.5 kmh and then jogs another 8 laps of the oval at 5 kmh It takes him 30 minutes in total Each lap in metres?

You're probably looking for a mathematical solution, but I used some deductive reasoning and common sense. Dave does one lap at 2.5, then 8 laps at twice the speed, which will take half the time per lap. His total is 30 minutes.

8 laps at 3 minutes = 24 minutes

1 lap at 6 minutes = 6 minutes

Dave walks 2.5 km in 60 minutes. That means he will cover 0.25 km in 6 minutes.

Answer: 250 meters

Yes, right. Mathematically,

S = v1t1 =2.5t1

8S = v2t2 = 5 t2

t1 = S/2.5

t2 = 8S/5

t1 + t2 = 0.5

S/2.5 + 8S/5 = 0.5

solve S as 10S = 2.5

S = 0.25 km = 250 meters

What is the answer to 5 plus b3?

5 + b3 cannot be solved since it is not an equation. It is simply a combination of 2 terms.

What is 5 pairs for y3x-2?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". The question appears to have no equation and so it is not possible to provide an answer.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". The question appears to have no equation and so it is not possible to provide an answer.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". The question appears to have no equation and so it is not possible to provide an answer.

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". The question appears to have no equation and so it is not possible to provide an answer.

How can you get a linear equation from 3 coordinates?

You cannot.

You need four coordinates (two horizontal and two vertical) to uniquely identify two points. Having identified the two points, you can determine the slope (or gradient) as

[difference in vertical coords]/[difference in horizontal coords]

Then use this slope (m) and either of the two points in the equation y = mx + c to determine the value of c.

Dot product is?

Dot product is an algebraic operation when two equal-length sequences of numbers are returned as a single number.

What is the answer for vlwh?

That isnt really a normal question so let me tr to explain: in order to find the volume (v) of a rectangular prism (3d rectangle ) you multiply length of one of the sides (use either the "top" or "bottom" )by its width and then multiply that by the Hight of the rectangular prism. Hope this helps!

Where to Stay vist siddaganga math?

you may stay at the quarters available there - very simplistic, sleeping on the floor. There are also guest houses available nearby. Thereare good hotels in Tumkur city around 6 kms from there. So depending on budget you can choose whichever is convenient. http://msanjay.weblogs.us

What is the range of X-3?

If you graphed this equation y=x-3 you would get a line that crosses the y-axis at -3 and slants up to the right at a slope of 1/1. There would not be anything that blocks it from going higher or lower at any point so, its range is "All Real Numbers."

Why use orthogonal signal space?

One reason is that anything which happens in one of the orthogonal directions has no effect on what happens in another orthogonal direction. Thus, for example, the horizontal component of a force will not have any effect in the vertical direction.

What are the steps to solve a Linear Equation?

1.Put into y=mx=b

2.graph

3. find ordered pair where the lines intersect

What is A2   b2  c2?

If you are talking about a2+b2=c2 then that is Pythagorean theorem.

What is the least common multiple of 14 18?

The answer is 126. Here is how to get it. Factor each of the numbers. 14=2X7. 18=2X3X3. Now eliminate one copy of any factor that is duplicated between the two numbers, so eliminaTe one 2 but keep one of the 2's. Keep both 3's, because it is duplicated within one number, not between the two numbers. Multiply together the factors that remain after eliminating the duplicate 2. 2X7X3X3=126. 126 is the least common multiple.

What are the three ways of solving system of linear eqution?

Systems:

1. Solve for a letter and substitute into the other equation. It is called substitution.

2. Linear combination. Set the equations so the letters match up. Multiply one of the equations so one of the letters will go to zero when yoy add them together and solve for the other letter.

3. Determinants. Setting up square matrix and substituting into the matrix to find the different variables.

When you use cross product and dot product in vector?

Dot product and cross product are used in many cases in physics. Here are some examples:

  • Work is sometimes defined as force times distance. However, if the force is not applied in the direction of the movement, the dot product should be used. Note that here - as well as in other cases where the dot product is used - the product is greatest when the angle is zero; also, the result is a scalar, not a vector.
  • The cross product is used to define torque (distance from the axis of rotation, times force). In this case, the product is greatest when the two vectors are at right angles. Also - as in any cross product - the result is also a vector.
  • Several interactions between electricity and magnetism are defined as cross products.