Linear Algebra

It is a cuboid

Simple systems of linear equations involve two equations and two variables. Graphically this may be represented by the intersection of lines in a plane. If the two equations describe the same line or parallel lines, there is no solution.

Example:

x + y = 7

2x - y = 8

We might rewrite the first equation as x = 7 - y (subtracting y from each side).

Then we can substitute 7-y for x in the second equation:

2(7-y) - y = 8

By the distributive property of multiplication over addition this yields:

14 - 2y - y = 8

14 - 3y = 8 (combining -2y and -y)

14 = 8 + 3y (add 3y to each side)

6 = 3y (subtract 8 from each side)

2 = y (divide each side by 2).

If y = 2, we can substitute this back into either equation. The first looks like it would be the easiest: x + 2 = 7.

x is therefore 5.

5(a2-3)

If an identity matrix is the answer to a problem under matrix multiplication, then each of the two matrices is an inverse matrix of the other.

It's a logical puzzle, make up answere that fit in the open square so it matches the equation on the sides and or bottom.

the line that crosses through the origin

You could do so many. Here are some examples:

15n=105

15n+105=1005

15n-105=270

Hope this is what you were looking for. :)

Good luck!

The two numbers are... -36 and -36

A line with no slope is a vertical line. The slope is undefined, and cannot be represented by a real number.

A horizontal line has a slope, but the slope is zero.

Consider the "y = mx + b" form of the straight line equation. For a horizontal line the slope is zero, so y = 0x +b => y = b, which is the equation of a horizontal line. For a vertical line, there is no slope, so you can't substitute for m; the equation can't be written in the form y = mx +b. The equation of a vertical line has the form x = a.

3x+2y-5=0

3x+2y=5

Im lost im only 12 work out the rest hope i helped

The eigen values of a real symmetric matrix are all real.

101 and 26

Do you mean y=x^2.5? I you had y=13^2.77, it's easier to use log.

log y=2.77*log13 ~ 3.0856. 1217.9 is the antilog and answer.x=1217.9

But math can be more complicated. How about y^2.5=x^1.8. Logs really shine here. Take log of both sides. 2.5*log y = 1.8 log x. Say x=100 and 1.8 log 100 = 1.8*2=3.6. We have 2.5 log y = 3.6 and log y = 3.6/2.5 = 1.44. Now y = antilog 1.44=27.54229. So does 27.54229^2.5 = 100^1.8 ? Yes it does.

24x^3 + 72x2 + 30x = 6x*(4x^2 + 12x + 5)=6x*(2x + 1)*(2x + 5)

You cannot.

The sum of 5 odd numbers is always odd. 30 is not odd.

Domain is the number of x values that can be used and not cause an imaginary result.

Range is the number of the y values that result.

In f(x)=2x-5 the range is all real numbers.

It is not always the best method, sometimes elimination is the way you should solve systems. It is best to use substitution when you havea variable isolated on one side

The solution of a system of linear equations is a pair of values that make both of the equations true.

There is no inverse for zero.

y = 0 and x = 8.

Elimination and substitution are two methods.

using a calculator.

The magnitude of dot product of two vectors is equal to the product of first vector to the component of second vector in the direction of first.

for ex.- A.B=ABcos@

2x + y = 3 and y = 5x - 11

1) Plug the second equation for y into the first

2) 2x + (5x - 11) = 3

3) Solve for X

4) 7x = 14

5) x = 2

6) Plug X into either equation to get Y

7) 2(2) + y = 3

8) y = -1