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## #1 Re: Help Me ! » Matrices » Yesterday 23:23:38

Generally how would we express the given arbitary matrix as the sum of symmetric and skew symmetric matrix?

## #2 Re: Ganesh's Puzzles » *** Problems » Yesterday 20:37:19

The solution for #262 is -(a+nd).

## #3 Re: Help Me ! » Matrices » 2020-05-22 12:54:17

What does the transpose of a matrix mean and how it could be visually seen?

## #4 Re: Ganesh's Puzzles » Trigonometry » 2020-05-14 19:48:09

T#148 solution is 108°

## #5 Help Me ! » Matrices » 2020-05-13 23:47:43

666 bro
Replies: 5

Now I'm learning matrices my question is what does a compact form of an matrix really  mean?

## #6 Re: Euler Avenue » e^x » 2020-05-13 21:39:23

So, which concepts are required to understand this series?

## #7 Re: Euler Avenue » e^x » 2020-05-12 22:19:33

In that post 8 you've said that you're finding out dy/dx for the graph by taking general point (x,y) and second point close to first one and calculate slope of line joining those points. I've tried for the functions like 2^x , 3^x but what I'm confused about is had you calculated slope of the line or derivative as a limit?

## #8 Re: Euler Avenue » e^x » 2020-05-10 19:57:12

You've said that "One thing should be clear; each value of 'a' will have a limit because we can see that the gradient at (0,1) exists, and is different for each 'a' value, and gets bigger as 'a' gets bigger"
So, my question is how could we see a gets bigger and bigger visually and please explain with an example?

## #9 Re: Euler Avenue » e^x » 2020-05-10 19:13:20

What does Δx means in graph of f(x) = a^x ?

## #10 Help Me ! » A new kind of science » 2020-05-07 23:21:39

666 bro
Replies: 1

What does Stephen Wolfram's "a new kind of science" Explains?

## #11 Re: Ganesh's Puzzles » *** Problems » 2020-05-06 19:15:02

Solution for#254 is [(2) / (x-2)(x-4)]

## #12 Re: Ganesh's Puzzles » *** Problems » 2020-05-06 04:42:37

Solution to #311 is (1/3).

## #13 Re: Ganesh's Puzzles » *** Problems » 2020-05-04 05:02:25

The solution of #259 is  n=35

## #14 Re: Ganesh's Puzzles » *** Problems » 2020-05-02 23:04:52

The solution of #304 is r=5.

## #15 Re: Ganesh's Puzzles » *** Problems » 2020-04-28 15:25:20

But I got this is answer in an different way.
Let A and B are two events.
Total number of outcomes=36
A= getting sum of 8
B= getting a product of 12
P(A) = probability of the dices getting sum of 8=  (5/36)
P(B) = probability of the dices getting product of 12 = (4/36)
P(A&B) = probability of getting both sum of 8 and product of 12= (2/36)
P(AUB) = probability of getting sum of 8 or getting a product of 12.
so, we should find P(AUB)
Then P(AUB) = P(A) +P(B) -P(A&B)
Now, P(AUB) = (5/36) +(4/36) -(2/36)
= (7/36)
(∴) P(AUB) =(7/36).

## #16 Re: Ganesh's Puzzles » *** Problems » 2020-04-27 21:54:20

The solution of # 314 is (7/36).

## #17 Re: Ganesh's Puzzles » Algebra » 2020-04-23 19:15:23

A#74:The number (a) = -3.

## #18 Re: Euler Avenue » e^x » 2020-04-23 15:29:07

Is gradient of line means slope ?

## #19 Re: Ganesh's Puzzles » Algebra » 2020-04-22 19:11:03

A#73. The number (a) =2

## #20 Re: Ganesh's Puzzles » Series and Progressions » 2020-04-22 16:05:46

a1, a2, a3 forms an A.P with d=4.
They are:
a1=7
a2= 11
a3=15
S15= 525.

## #21 Re: Help Me ! » Learning at once » 2020-04-21 23:18:18

So you mean that it creates flexibility between in learning two topics?

## #22 Help Me ! » Learning at once » 2020-04-21 15:25:06

666 bro
Replies: 3

Now I'm studying complex numbers and I want to start learn another chapter about integrations  is it a right way to study both chapters at once?

## #23 Re: Help Me ! » Higher algebra » 2020-04-16 00:39:33

So, would you tell me how could I learn a theorem and understand it intuitively for example:de moivre theorem ?

## #24 Re: Help Me ! » Higher algebra » 2020-04-12 22:46:09

No , but I had an idea about argument of an complex number.

## #25 Help Me ! » Higher algebra » 2020-04-11 01:33:52

666 bro
Replies: 6

Now I'm reading chapter no. 5:complex numbers from  higher algebra by barnard & child in that i didn't understand de Moivre's theorem and extension what does it states that and how does it works?