Linear Algebra

Do you mean cymbal, the musical instrument? Or do you mean syllable, the divisions of words? Or do you mean symbol, the representation of one thing for another?

Shekuntla Devi

The matrices must have the same dimensions.

It is a number, and it is equal to 24.5

They are called equivalent systems.

The following two details should be quite easy to remember.

1) "Do the same on both sides." (Whatever you do on one side of the equation, you must do the same on the other side.)

2) "Isolate the variable." Though you can do just about any operation, you should do operations in such a way that the variable which you are solving for will be alone on one side; anything else, on the other side.

All else is practice, and learning some special cases.

John is 18. Set up an equation: J-5=(J+8)/2 Or use guess and check...

The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.

a pancake

Two curves which intersect at right angles, ( the angle between the two tangents to the curve) curves at the point of intersection are called orthogonal trajectories. The product of the slopes of the two tangents is -1.

p=0.030 means that there is a 3% chance that you are wrong to reject the null hypothesis (H0). In a lot of studies, p<0.05 is considered significant evidence and the H0 is rejected. However, this depends on the research done, sometimes the boundary is set at p<0.01 or even lower.

Example: a study tries to see if males are, on average, taller then woman

H0: Males do not have a higher average length than women

Ha: Males have a higher average length than women

P-value is set at 0.05

[Statistical analysis, including a check of all assumptions]

p=0.03<0.05

This dataset yielded a p<0.05. Therefore, the H0 is rejected. This study supports the conclusion that males have a higher average length than women

order of operations

The dimensions would be 40 feet by 40 feet.

It means that the equations are actually both the same one.

When they're graphed, they both turn out to be the same line.

In math, the purpose of Cramer's rule is to be able to find the solution of a system of linear equations by using determinants and matrices. Cramer's rule makes it easy to find a system of equations that have many unknown variables.

The earthquake prone areas are those on or near fault lines or subduction zones, and those near active volcanoes. Most of the rim of the Pacific Ocean is one such area.

When looking at equations from a calculus perspective, one will see that the slope of a line of the graph y = x^2 increases as x increases, whereas y = x has a universal slope over the entire real number line. If the slope increases as x increases, then it cannot be a straight line.

• Yes, the function y=4 will be a straight horizontal line, passing through the point y=4.

x2 ≥ 0 is one possible answer.

If you indicate that the mass of an object is 17.2 grams then this implies that you have measured its mass to be somewhere between 17.195 and 17.205. If, however, you indicate a mass of 17.2153 then it will be understood that you have measured the mass to be between 17.21525 and 17.21535.

In short, the number of decimal points indicates the precision of the measurement (even when those digits are zeroes).

Everyone will be different. It all depends. For example, I thought geometry for 2-D shapes was hard even though I'm good with 3-D shapes. I guess you'll see when you try it out!

It depends on the area of your room. An ordinary vent of 12*10 inches can warm up and purify a room of area 10*10 feet.

When the two equations actually represent the same line, the solution to the system will be all points on the line.

For example take the line y=x+2, if we multiply both sides of the equation by 2 we do not change anything about the line. So the equation 2y=2x+4 is really the same equation. The solution to the system y=x+2 and 2y=2x+4 is all the points ( all the real numbers) on the line. We often write this {(x,y)|y=x+2}

What you have listed is not an equation but I assume you meant 6w = 42.

If you divide both sides by 6 you get w = 7.

A best estimate is the best guess that you can give for an answer. It is not really done using a formula, just by comparing things in your mind.