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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

How do you add in base 2?

Adding in base 2 is binary for computers. 10 = 2 because 10 means 1 of your base. The rules are no different.

What is the answer to y 14 -4x into a graphs linear inequalities?

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".

How is solving a system of linear equations the same as solving a system of linear inequalities?

Not quite sure of the direction of the argument required.

Any inequality can be made into an equality by using an auxiliary variable. For example,

x + 2y < 3 is equivalent to x + 2y - a = 3 where a is some positive variable. [This method is used in linear programming.]

Conversely, any equality can be written as a combination of two inequalities. For example,

x + 2y = 3 is the same as

x + 2y ≤ 3 and x + 2y ≥ 3

How do you simplify the square root of 156?

The easiest way before learning to be more efficient is to break it down into it's multiplicative tree. So 156 becomes 78 x 2: 78 = 39 x 2. What is left now is 2 x 2 x 39 (39 is 13 x 3 and does not simply further) and 4 x 39 can be simplified. Pulling out the 4 from the radical becomes 2 * sqrt(39) where sqrt means "Take the square root of" what's in parentheses.

What are matrices inclosed in?

A matrix is bound by braces which look like [ ].

What is the outlier in 2 3 18 18 18 19 20 20 21 21?

There are no universally agreed determinants are outliers.

Commonly used measure are

Lower Outer Fence : Q1 - 3*IQR

Lower Inner Fence : Q1 - 1.5*IQR

Upper Inner Fence : Q3 + 1.5*IQR

Upper Outer Fence : Q3 + 3*IQR

where Q1 and Q3 are the lower and upper quartiles and IQR = Q3 - Q1.

Values further than the outer fence are called extreme outliers while those between the inner and outer fences are mild outliers.

On that basis the values 2 and 3 are both mild outliers.

What is the answer to page 131 graphing linear equations?

Uhm....Page 131 of what book?
Dare say there's several MILLION different books with page 131.

Is 6x 1-5 a linear equation?

equation is an expression equated to a value..what you have written is an expression. when equated to a value or any other expression makes it an equation.

How do you write a number that has a 3 in the hundreds place a 6 in the thousands place and a 5 in the hundreds thousands place?

Remember you have Tens of Thousands, Tens, and Units all as 0's

the number you describe is "Five Hundred and Six Thousand, Three Hundred"

506,300

Biggest numbers come first:-

What is the answer to 13x-2y equals 70 and 2x-2y equals 4 using the method of substitution?

i am guessing here that this is what you mean as it involves substitution:

2x-2y = 4

therefore -2y = 4 - 2x

Sub the above line into the first equation gives:

13x - 2x +4 = 70

11x = 66

x=6

then sub in x

13(6) - 2y = 70

78 - 2y = 70

y=4

Yep, this is the exact same as simultaneous equations

Is pi smaller than 4?

yes pi is smaller than four as well as any number above 3.2

What is a method used for solving systems of equation in which one of the equations is substituted into another?

It is called substitution. Solve one of the equations for a single variable and substitute it into the other.

x+y=10 y=10-x

2x-y=-4

2x-(10-x)=-4

2x-10+x=-4

3x-10=-4

3x=6

x=2

x+y=10

(2)+y=10

y=8

Is 6789 divisible by 6?

no, but the answer would be 1131.5

How do you solve multiplication with like terms?

Just multiply the coefficients, leave the variable the same, and add the exponents.