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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 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.
How many solutions are there to a linear inequality?
Infinitely many. The solution space is part of a plane.
What number goes into 26 and 18?
The only common factors I can see are 1 and 2. 18 is divisible by 1,2,3,6, and 9, and 26 is divisible by 1,2,13,and 26.
How long is the diagonal of a 12ft-by16-ft rectangular garden?
this is the pythagorean theorem: x^2 + y^2 = c^2.
1) 12^2 + 16^ = c^2
2) 144 + 256 = c^2
3) 400 = c^2
4) Take the sq. root of both sides.
5) 20 = c
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
How many kiloliters there are in 910 hectoliters?
10 hectolitres = 1 kilolitre so 910 hL = 910/10 = 91 kL. Simple!
y = (2/3 x) - 16
What does terms of an expression mean?
An expression is a collection of numbers and variables, along with mathematical operations, but without an equality (or inequality) symbol.
What distinguishes a weak matrix from strong matrix?
In organizational management, a strong matrix is an organizational structure arranged around projects; a weak matrix is arranged around functional roles. For example, in a strong matrix structure, the resources might be organized to support Product A or Product B, in a weak matrix structure, the resources might be organized into Development or Manufacturing.
How does the graph of the line change as you make b larger but keep m the same?
The equation of a line is y = mx + b. If the slope of the line (m) stays the same, the line will be parallel to the original line. What changing b does is change the y-intercept of the line, because when you make x = 0, y = b. So by making b larger, you are moving the line up the y axis.
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.
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.
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.
