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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

Why is it okay to divide both sides of an equation by the same nonzero number?

if left side and right side of an equation are equal then if we divide if by same number then it will not change for eg 2(x+1):-50

then x:-24

if we divide it by 2 both the side then

2(x+1)/2:-50/2

x+1:-25

x:-25-1:-24

in both the cases ans are same so if we divide both side of the equation by nonzero number the value doesnt change.

Is fx xx 5 a linear function?

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. However, I suspect that the answer is in the negative.

What is an extraneous solution of an equation?

when you solve a questiom, you get an answer. If you chect your answer by substituting the value of the variable in the question and you don't get L.H.S and R.H.S equal then your answer is called extraneous solution.

How do you write an equation for a line that passes through point and is parallel to the given line?

Both straight line equations will have the same slope or gradient but the y intercepts wll be different

What is y-d equals cx in Slope-Intercept Form?

y - d = cx

so d = - cx + y

That is the slope-intercept form in the c-d plane.

Slope = -x

Intercept = y

What is 6p 3P?

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.

Can there be decimals in a coordinate?

Yes. In real data there usually are non-integer data points. When learning about lines and points we try to use simple points.

Why we use sine angle in cross product while cos angle in dot product?

Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin

What is -7n equals 63?

To find the value of n

-7n=63

n=63/-7

n-9

Hence,-9 is the required answer.

Why Two dependent simultaneous linear equations have infinite solutions?

Two dependent linear equations are effectively the same equation - with their coefficients scaled up or down.

What does y-x-2 look like on a graph?

You could not graph (y-x-2) because it has no equal sign in it. In order to graph an equation, there must be a value that the numbers and variables are equal to. (e.g. y=2x+3)

How does solving a literal equation differ from solving a linear equation?

Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.

What is special about the graph of a system of equations with an infinite number for a solutions?

If the co-ordinates of linear equation are marked on the graph, the co-ordinates are always in a straight line. If the co-ordinates are not in the straight line, their might be problem in the calculation.