Linear Algebra

100x100=10,000 because there are 4 0's left after so they have to be added

True. That's a way of representing the solution.

-1 -1/3 = -1 1/3

2x + 5

It is a system in which the solution set is a straight line.

11 x 23

It was Jacob A. Marinsky, Lawrence E. Glendenin and Charles D. Coryell who discovered promethium. It had been predicted many years before, but had never been found or isolated. A link can be found below for more information.

1.21

Living in "X" aisle *exile*. Play on words/letters; "X" is the 24th letter of the alphabet, and when read, "X" aisle sounds like "exile".

They are reflected in the line of y=x

Unanswerable in current form.

Perhaps an"equation chart" is a table of values?

2x + 6 = 8x -18. (Poorly written, but I believe this is what you're looking for)

x = 4

The stiffness matrix is square because it relates the forces applied to a structure to the displacements at its nodes in a finite element analysis. Each degree of freedom (DOF) at a node corresponds to a row and a column in the matrix, ensuring that the number of equations matches the number of unknowns. This square structure allows for a direct mapping of forces to displacements and enables the use of linear algebra techniques for solving the system of equations efficiently.

An elimination system type of tournament involves several rounds of play. Players will draw to see who they play against. Whoever wins from each round goes on to play a winner from another round. This continues until only one player is left.

answer to a multiplacation equation

If, for an n*n matrix, A, there exists a matrix B such that AB = I, where I is the n*n identity matrix, then the matrix B is said to be the inverse of A. In that case, BA = I (in general, with matrices, AB ≠ BA)

I is an n*n matrix consisting of 1 on the principal diagonal and 0s elsewhere.

That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential

The result of addition.
The answer of all your numbers added up.

If X1, X2 , ... , Xn are matrices of the same dimensions and a1, a2, ... an are constants, then

Y = a1*X1 + a2*X2 + ... + an,*Xn is a linear combination of the X matrices.

My knowledge limits to square matrices.

The answer is yes, because 0 = -0

55mph = 88.5km/h

The area of a rectangle is its height multiplied by its width

Both of these equations describe straight lines in the xy-plane. At the y-axis x=0 and at the x-axis y=0. So, by substituting in x=0, we can find where the two lines cross the y-axis and, by substituting in y=0, we can find where they cross the x-axis. For the first line:
x - 3y = -3
(sub in x=0)
0 - 3y= -3
(divide both sides by -3)
y=1 ----> so this line crosses the y-axis at y=1 only.
By following a similar process we can find that this line crosses the x-axis at x=-3 and that the second line, 6x + 2y = -12, crosses the x and y axes at x=-2 and y=-6respectively.

If the two lines cross each other then, at some point in the xy-plane, their x and y values will be equal, meaning we can rearrange one equation and substitute it into the second one:

Rearrange x - 3y = -3 to give:
x = 3y - 3
So we can substitute 3y - 3 into the second equation, 6x + 2y = -12, giving:
6(3y - 3) + 2y = -12
(multiply out the bracket and collect terms)
20y - 18 = -12
(add 3 to both sides and then divide both sides by 20)
y= 6/20 = 0.3
(sub this back into x= 3y - 3 to find x)
x=-2.1
So, the two lines cross each other at the point (-2.1, 0.3)