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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 the definition of hills matrix?
A Hills matrix is an encryption tool. For a language comprising 26 characters, you would use an invertible n*n matrix where each element is modulo 26. That is a Hill matrix, H.
To encode a plain text message,
- encode the plain-text message using a = 0, b = 1, ..., z = 25.
- chop the message into strings of n characters.
- premultiply the column vector so formed by H.
- convert the resulting n*1 matrix to modulo 26.
- that is the encrypted message.
- to decrypt, premultiply the encrypted version by H^-1, modulo 26 .
The matrix H, is selected from a set of n*n matrices which are invertible and, for a 26-letter language, the determinant should not be divisible by a factor of 26 (2 or 13).
I suppose Cramer was looking for a generalized method to solve linear systems of equations. Using determinant's was his solution. I've posted a link to a neat site about Cramer's rule.
How many deciwatts are in 479kilowatts?
Kilo means 1,000 so 479 Kilowatts is exactly 479,000 watts. So a deciwatts would require us moving to the left.
479,000 = 47900.0 Hectowatts = 4790.00 Decawatts = 479.000 Watts = 47.9000 = Deciwats.
So 479,000 Kilowatts is exactly 47.90 Deciwatts.
What is the linear inequality of 2x-5y0?
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", "less than", etc.
Why would a linear trend equation based forecast be dangerous?
The relationship between the variables may not be linear.
What are the benefits and shortcomings of each method of systems of equations?
The answer will depend on what the "each method" refer to. The question provides no clue.
What products used shrink sleeve applications.?
Shrink sleeve applications, in which the label is wrapped around the product and then shrunk directly on to it to form a bond, were most common on batteries and film products.
How do you know a function is linear?
If the variable x is raised to the power of 1 or 0. No other possibilities.
What is the least common multiple of 12 3 and 16?
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.
The least common multiple of 3, 12, and 16 is 48.
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", "squared", "cubed" etc.
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", "squared", "cubed" etc.
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", "squared", "cubed" etc.
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", "squared", "cubed" etc.
What is the maximum range of numbers that can be stored in a 12bit word?
2^12 = 4095 is the maximum range of 12bit word
What is the solution of this problem in math- simplifying each expression- -8-10x-2?
The question contains an expression -10-10x = -10(1+x). Since it is not an equation nor inequality, it cannot have a solution.
How do you get help on your math?
If your teacher does not already know that you need help, you should ask for it.
What is the answer to the inequality 8 2 a plus 3 10?
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", "greater/less than", "equals".
What is x plus 4 multiplied by x plus 5?
(x+4)(x+5) = 0
x = -4 v x= -5
However this can also be an answer:
(x+4)(x+5) = 0
x2 + 9x + 20 = 0
In trigonometry what are three values that are not defined?
Cosecant of k*pi radians Secant of 0.5*(2k+1)*pi radians
Cotangent of k*pi radians
where k is an integer.
