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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 does an electroscope aply to humans in everyday life?
Hydrogen hydrates the tongue and the liver in the body.
*~*Brittney*~*
Is yx2 2x-3 a linear equation?
"y x 2 2x -3 is not any kind of equation because it does not have an equals sign (=).
Describe a consistent independent system of linear equations?
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
Eigenvalues of an operator are the only experimentally measurable quantities?
Is an axiom of Quantum Mechanics. The implications are extremely subtle and mathematical, so I recommend reading the quantum books by Shankar or Griffiths. Both should be available at any technical or university library.
How many solutions does a system of equations have when solving results in the statement 3 5?
The answer will depend on statement 3 5 - whatever that may be!
A definition of a solution to a system of equations?
A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
When does the magnitude of dot product and cross product of vectors is equal?
If x is the angle between the two vectors then the magnitudes are equal if cos(x) = sin(x). That is, when x = pi/4 radians.
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
How do you use algebra in dentistry?
The algebra section of the DAT is used to evaluate your ability to use numbers and show that you're capable of prblem solving.
How is linear equations used in archaeology?
The absorption of fluorine into flint dates exposure of the surface and dates the time the rock was cracked. The linear equation will compare the dates of exposure until today's date. There are other uses but that is one.
Can two objects have the same mass but different weights?
YUPP... if you have a chicken nugget and a gold nugget, they can both have the same mass but the gold nugget is going to weigh one heck of a lot more. (my dad told me this so you betcha its right.)
Are they physicly damaged after being run? If not have you tried putting one of the three back in after it was removed and clearing faults to confirm that its bad. If you have a manual look at the wiring diagram for the connector of the sensor and ring the wires back to the computer to make sure you don't have voltage there that should't be or a intermittent ground The 1st answer you got sound correct, but wanted to also add that it's possible that the sensors could be bad from time of buying the product. sometimes the quality of the parts aren't very good and won't hold up.
What are algebra inequalities?
Linear algebraic inequalities can be described as an expression with a variable >/< an expression with a variable. For example, 2x<90 so x<45.
Inequalities don't yield a particular solution, but rather solution sets. In the above example, x<45, means that the solution set is all of the values less than 45.
How many kilocalories per kg per hour would expend exercising at 6 METS?
The answer to this can only be approximated. To do it, you need to know the oxygen consumption at 6 METS. The standard assumption for this is that 1 MET is 3.5 ml/min/kg of body weight. Now you need to know how many Calories are burned for each ml/min of VO2. This again, is only an approximation, because the answer depends on assumptions about muscle efficiency and fuel burned. When the RQ (ratio of VCO2/VO2) is about 0.8, we burn about 4.8 Cal per liter of VO2 (source: ACSM resource manual). So, here we go:
6 METS = 6 x 3.5 = 21 ml/min/kg of VO2. Assume a 70-kg body weight, this gives VO2 of 1.47 l/min. Now multiply by the KCal factor to get 7 Cal per minute, or 420 Cal per hour. Putting the answer in units per Kg as requested, gives 420/70 = 6 Cal/kg/hour.
6 METS is about 3.5 MPH at 5% grade (brisk walk up slight hill).
Ken Beck
Exercise Physiologist, and
Research Scientist, Boston Scientific Corp
Why Do you Study linear equations?
we study linear equation in other to know more about quadratic equation
The K stands for Kilo which equals 1,000
So 1K = 1 Kilos or 1 thousand.
Hope this helps!
It is: 1k = 1,000 which is one thousand
dependent
1 cent
What properties of equality are frequently used to solve linear equations?
Equalities transformed using equal quantities are equal for most common bainary opeartions - with a few exceptions.
The operations include addition, subtraction, mutiplication as well as division (when defined).
Exponentiation to integer powers is included but not fractional powers. If defined, logarithms to the same base are equal. The basic trigonometric functions are also valid transformations but their inverses (the arc functions) are not.
Equalities transformed using equal quantities are equal for most common bainary opeartions - with a few exceptions.
The operations include addition, subtraction, mutiplication as well as division (when defined).
Exponentiation to integer powers is included but not fractional powers. If defined, logarithms to the same base are equal. The basic trigonometric functions are also valid transformations but their inverses (the arc functions) are not.
Equalities transformed using equal quantities are equal for most common bainary opeartions - with a few exceptions.
The operations include addition, subtraction, mutiplication as well as division (when defined).
Exponentiation to integer powers is included but not fractional powers. If defined, logarithms to the same base are equal. The basic trigonometric functions are also valid transformations but their inverses (the arc functions) are not.
Equalities transformed using equal quantities are equal for most common bainary opeartions - with a few exceptions.
The operations include addition, subtraction, mutiplication as well as division (when defined).
Exponentiation to integer powers is included but not fractional powers. If defined, logarithms to the same base are equal. The basic trigonometric functions are also valid transformations but their inverses (the arc functions) are not.
What is the slope-intercept form of the equation 15y10x 12?
I'm assuming you mean 15y+10x=12? ... That'd be y=-5/3x+12/15
What is the dimension of a skew symmetric matrix of order 3?
In a skew symmetric matrix of nxn we have n(n-1)/2 arbitrary elements. Number of arbitrary element is equal to the dimension. For proof, use the standard basis.
Thus, the answer is 3x2/2=3 .
