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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 is a linear line with no solutions?

Linear means referring to a line, so a line must be linear!

Every point on any line is a solution to the equation that defines the line.

How do you solve linear problem?

If you are trying to solve a linear equation and facing difficulty in doing so then try to understand that the variable which u have taken is depending on what factor..and equate it with the constant..by doing this you will be able to solve the equation.

How do you determine if you can multiply two matrices?

Tthe matrix multiplication A*Bis defined only if the number of columns in the first matrix, A, is the same as the number of rows in the second, B. Note that the condition for the multiplication of B*A will be the reverse.

Why is it more accurate to describe the CPU using the term Frequency rather than speed?

Frequency is a quantitative measure of the speed of a CPU. So it's much more specific than the other options of scales of 1 to 10, or slow, medium, and fast.

How does someone make a first in math account?

You need approval from a teacher and have them make you an account, but it only lasts for 1 year unless you renew it.

How do you make a quadratic function?

you need a polynomial of the second degree with (a) not equal to zero. its standard form is this...

y = ax2 + bx + c a cannot equal zero

a b and c are all numbers you can put in

lets a = 2, b=5, and c=7 (it all depends on what problem you are given)

y = 2x2 + 5x + 7

quadratic equations form a parabola. parabolas are shaped in a U shape. they can open up in an upwards direction or downwards or sideways depending on the x and y values and the signs of the values.

What is pressure force?

Pressure is defined as the following Pressure = force / area. So what this means is pressure is how much force is exerted over a area of given size. For examle a concrete slab is on the floor this slab has a width of 2m and a length of 2 m its area is 2 x 2 which gives 2m Squared. Its force it exerts is 1000 newtons ok what the hell does this mean? if you place this in the formula you will get pressure = 1000/4 Pressure = 250 newtons per square metre. I hope this answers you question on what pressure is.

What jobs uses related to linear algebra?

Whether you like it or not, basic algebra, and increasingly, linear algebra, are becoming so commonplace that people working at a fast food restaurant are finding the need for it. It's pretty much safe to assume that any class you have to take as a graduation requirement for High School is something you're going to be using no matter what job you get.

More advanced math, such as geometry, higher level algebra, trigonometry, calculus, and beyond, are also required in a very large number of professions - there's no way to list them all. For example, your boss at that fast food restaurant, who needs to be able to handle money, is doing more than just basic algebra - if he/she wants to figure out how fast their profits are growing each month compared to how fast they were growing last month, he/she will need to jump straight into calculus to figure that out. Architects and carpenters also use trigonometry on top of a solid geometry background, and programmers use varying levels of all of these skills on any given day, as do accountants.

What are the Applications in linear program?

The applications are in finding optimum solutions to a linear objective function, subject to a number of linear constraints.

When is it best to solve a systems of linear equations using elimination?

Elimination is particularly easy when one of the coefficients is one, or the equation can be divided by a number to reduce a coefficient to one. This makes substitution and elimination more trivial.

When you solve a system of equations algebraically how can you tell whether the system has zero one or an infinite number of solutions?

Compare the equations. If it has the same slope it most likely will be parallel which means it has 0 solutions. However, if you plug in points and they match up exactly it would have an infinite amount of solutions. The only way it would intersect more than once or 2 then would be if it was a parabola which would have a x^2 value typically. If it has 1 solution it means it would intersect once.

What are the steps in comparison method in solving linear equation?

You drink lots of beer and get really drunk. At that point, you won't need to solve it, dick.

What are the 4 ways to solve linear equations?

  • Step-wise substitution of variables
  • Step-wise elimination of variables
  • Graphical
  • [Generalised] Inversion of coefficient matrix

What is squared in exponent form?

A squared number has an exponent of 2.

So x squared = x2

What are mathematical matchstick patterns?

They double after three
eg/ it goes 1, 3, 7, 14, 28 ONLY AFTER THREE!!!

Why you use cosine theta with cross product?

Normally you use sine theta with the cross product and cos theta with the vector product, so that the cross product of parallel vectors is zero while the dot product of vectors at right angles is zero.

How do you solve the system of linear equation in real life?

Hey - you know that folk were doing this in the days before calculators and computers. It can be done.

Graphing is one approach.

Just plot the Y values resulting from the X values you try.

How do you solve 2(x 6) x 17 as a linear equation?

Without an equality sign and not knowing the plus or minus values of the given terms it cannot be considered to be a linear equation and so therefore there is no solution to it.

What size frame would be 192 sq inches?

A 16 x 12 frame would have 192 square inches and be approximately a golden rectangle.

In what components dot and cross product resolve?

A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.