Tutor profile: Bhavesh S.
Subject: Linear Algebra
x+y=10, x=5. what is y?
Imagine 10 stones; 5 in red color; then out of 10 how many are not in red color; 10-5 which is 5 (Answer)
What is area of square?
Take a chess board. Look from the front; how many slots do you see in black and white; 8. Now, look from the side; how many slots do you see in black and white; again 8. Right? Count from the top; How many slots; 64. Which is 8 multiplied by 8 (8x8). Imagine every square as chess board and the measure/length of sides as no. of slots. And try to find total no. of slots. You will find the area of the square. Example: Area of a square of length 10 cm is 10 multiplied by 10 or 10^2; =100 is the answer.
What is mean?
Take 2 numbers - let's say 10 and 12, what is in the exact middle of it? 11. Now take, 5 numbers - let's say 1, 2, 3, 4, 5, what is exactly in the middle? 3. Correct right? These were cases where you can clearly judge the center from your brain. Now how to calculate the absolute center for larger data. You sum them and divide it with its count. That is, taking first case - 10 and 12, sum is 22; While count is 2. 22 divided by 2. 11 is the mean. Similarly for second case - 1, 2, 3, 4, 5. Sum is 15, While count is 5. 15 divided by 5. 3 is the mean. Now try this on larger data and match your answer. Example: 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34. Answer is 19
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