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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 all the multiples of 50 up to 750?

50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750.

What is the y intercept of this equation y-2x equals 5?

The y-intercept happens when x = 0, so if y = 2x - 5, then the y-intercept happens when y = 0 - 5, or -5.

How many feet per second is in 3.4 mph please show work. THX?

1mi = 5280ft

1h = 3600s

3.4mi/h x 5280ft/mi x 1h/3600s = 5.0ft/s (rounded to two significant figures)

Formula de area?

There are different formulae for different shapes. And since you have not bothered to share any information about the shape, I cannot provide a more useful answer.

How can one determine the median from a graph?

The answer depends on what the graph is of: the distribution function or the cumulative distribution function.

What is the product of antipolo?

Antipolo has a wide array of products to offer. The most popular among those "pasalubong" are suman, mangga, kasoy, and different kakanin.

Write a c program to find eigenvalue of a matrix?

Yes, do write. That's what you always have to do when you have got a homework-program.

Why CosӨ is used in dot product?

The cosine of the angle between two vectors is used in the dot product because it measures the similarity or alignment of the vectors. The dot product calculates the product of the magnitudes of the vectors and the cosine of the angle between them, resulting in a scalar value that represents the degree of alignment or correlation between the vectors.

What is negative one minus two?

2-(-1)=

2+1=

3

When a parenthesis

is preceded by a minus sign,

remove

the parentheses

and

the minus sign before the parentheses

and

change the sign of each term

within the parentheses.

When a parenthesis (-1)

is preceded by a minus sign, -(-1)

remove

the parentheses ( )

and

the - sign before the parentheses

and

change the sign of each term -1

within the parentheses +1

If a system has many solutions what kind of system of equations is it?

Coincidental equations are really the same and are the same line. They have infinite solutions meaning that any solution for one will be a solution for the other.

Why must the CKM matrix be unitary?

Unitary matrices leave the expectation value unchanged.

We need the mixing matrix to be unitary (to preserve the mixed quarks as a basis, to preserve length);

if VCKM were not unitary, it would perhaps suggest that a fourth generation of

quarks needed to be considered or included.

What was the outcome of the AT and T and Gary Forsee lawsuit?

Schlanger and Forsee successfully argued that the noncompete wording in Forsee's contract was too restrictive, and in 1990 the court allowed Forsee to join Sprint. The ruling was a blow to the noncompete clause tradition in corporate law.

Explain how to identify whether an equation has no solution or infinitely many solutions?

An equation can be determine to have no solution or infinitely many solutions by using the square rule.

Who discovered linear equations?

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Sir William Rowan Hamilton invented the linear equation in 1843.

What it means to be a solution to a linear system algebraically?

A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line.

Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.

How do you solve a linear sequence?

You cannot solve a sequence: you can only solve a question about the sequence.

The idea is to find the pattern, so you know what comes next.

How is negative two greater than zero?

The underlying supposition, namely that -2 > 0, is incorrect. 0 is a more positive quantity than -2 and would be considered "larger".

The only way that -2 would be considered "greater" than 0 is if the numbers are being evaluated for their magnitude or absolute value. Since the magnitude or absolute value of a number is the same number but with a positive sign in all cases, |-2| IS > 0 because 2 > 0.

How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?

A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions.

Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.