# Introduction to Linear Algebra

Linear Algebra is the study of linear sets of equations and their transformation properties.

It allows the analysis of rotations in space, least squares fitting, a solution of coupled differential equations, determination of a circle passing through three given points, as well as many other problems in mathematics, physics, and engineering. Continue reading

# What is a Derivative?

In mathematics, Derivate is the rate of change of a function with respect to a variable. In Calculus and Differential Equations, Derivatives are fundamentals to solve problems.

The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. Continue reading

# How did Pi originate?

Pi which is written as the Greek letter for p, or πis the ratio of the circumference of any circle to the diameter of that circle.

It doesn’t matter what the size of the circle is but this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14. As Pi is an irrational number which means that its decimal form neither ends nor becomes repetitive. Hence, it is useful to have a shorthand for this ratio of circumference to diameter. Continue reading

# How To Measure Any Distance With The Pythagorean Theorem?

In mathematics one of the most commonly used theorems is Pythagorean Theorem or Pythagoras’ Theorem which was discovered over 2000 years ago. It is the fundamental relation between the three sides of a right-angled triangle. It states that:

“The square of Hypotenuse is equal to the sum of the square of legs or the other sides of the triangle.”

i.e C²= A² + B² Continue reading

# How to add 1 through 100 using algebra?

“What is the sum of the first one hundred numbers? 1 + 2 + 3 + …… 99 + 100=?”

Does this sound easy? Well, not so much! Without the help of a calculator, it would take a lot of time for you to add from 1 through 100.

The first person to do so was a German Kid who later on became one of the most famous Mathematicians, Karl Friedrich Gauss. The teacher who assigned the task to him was even amazed himself as this task would take at least 1 hour, to sum the number individually.

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Do you like solving math? even if you don’t, you have to solve the math questions just because to get good marks. Yes, it is tough to solve every question but is mandatory as well. In order to get good marks all over and make a good grade, you need to get good marks in every subject. And for doing this, we take tutions, coachings and sometimes extra classes. But after all these things, self-study is important too. And if you don’t have anyone who can teach you at home, you might end up not solving the question you did not like. And for this thing, we have an amazing app for you called Mathway. The app is about solving mathematics questions easily. You just need to place your camera in front of the question and scan it. Once you scan, the answer will appear in your app. You can see the answer and compare it to yours. If not, you can also solve the question you feel is tough. If you want the proper solution of the question app, you can do that as well in this app and indeed it is free of cost. Continue reading

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