Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 Help Me ! » Couple of Linear Algebra Matrix Questions » 2007-03-20 14:51:04

MajikWaffle
Replies: 0

Let A = 5 9
            2 7   
and B = 1 8
             3 6

Find the standard matrix C of the linear transformation T(x) = B(A(x)).

And then

Determine which of the formulas hold for all invertible n×n matrices A and B
• A. A5 is invertible
• B. (ABA−1)8 = AB8A−1
• C. (A+B)(A−B) = A2−B2
• D. (A+A−1)3 = A3+A−3
• E. A+In is invertible
• F. ABA−1 = B

And finally

Which of the following linear transformations from R3 to R3
are invertible?
• A. Projection onto the xz -plane
• B. Projection onto the x -axis
• C. Rotation about the z -axis
• D. Identity transformation (i.e. T(v) = v for all v)
• E. Dilation by a factor of 6
• F. Reflection in the y -axis

>_> Too hard.

#2 Maths Teaching Resources » Good Program to make Box Plots? » 2007-03-08 11:27:04

MajikWaffle
Replies: 0

I'm looking for freeware that could create box and whisker plots. I don't have excel so I can't really do it there...

I would prefer one where I just plug the list into it and it generates a horizontal box plot, so any suggestions? Thanks.

#3 Re: Help Me ! » Help with Algebra ratio/proportion problem » 2007-02-10 04:57:10

Multiply 56 by (3 + 1/8) then divide by 25.

It's cross multiplying.
a/b = c/d
ad = bc

#4 Help Me ! » Just Checking » 2007-02-10 04:54:41

MajikWaffle
Replies: 5

If a 1-meter stick is cut into two independent random places, what are the odds that the pieces can for a triangle

So that's the problem right. I ran about 5 million trials with a self made program and got a probability of .25

Is that correct, and how can you algebraically prove it?

#5 Re: Help Me ! » Probabilty » 2006-11-02 11:52:57

AP Stats? Take your TI-83

(a) normalcdf(8.0, ∞, 8.1, .1)
(b) normalcdf(8.2,8.3,8.1,.1)
(c) invNorm(.025,8.1,.1)

or you could use the 68-95-99.7 rule.

#6 Re: Puzzles and Games » This Sudoku's unsolvable, correct? » 2006-10-10 17:45:07

Heh, the problem changed once he figured it was unsolvable including the linked image. smile
Now it's solvable...

Also, sudoku puzzles are impossible to solve based on the predefined numbers in boxes.

The old image was

_ 2 _ |1 5 _ |_ _ _
_ _ 5 |2 _ _ |_ _ 9
3 _ _ |_ _ 4 |_ 2 5
---------------------
_ 8 7 |_ _ 2 |5 _ _
_ 4 _ |_ 1 7 |_ _ _
_ _ _ |_ _ 3 |1 _ 7
----------------------
2 _ 4 |6 _ _ |_ _ _
6 _ _ |_ 9 _ |_ 3 _
_ 5 _ |_ _ _ |9 6 8

#7 Puzzles and Games » This Sudoku's unsolvable, correct? » 2006-10-09 18:37:52

MajikWaffle
Replies: 6

Teacher gave that as a problem of the week, and from what I've done I figured it was unsolvable. Kind of messed up POW if it doesn't even work...

#8 Help Me ! » An Algebraic Problem » 2006-03-13 18:26:01

MajikWaffle
Replies: 3

The cost of four items was $7.11 whether you added or multiplied the individual items. What was the cost of each item.

Our problem of the week for precalc. Problem is whether there is a set number of solutions. So help me out if you can please big_smile

#9 Re: Help Me ! » Finding the intersection of two functions. » 2005-12-15 15:00:55

It's just a like quadratic.

x^4 - 3x^2 - 4 = 0

(x^2 - 4)(x^2 +1) = 0

x^2 - 4 = 0                   x^2 + 1 = 0
x^2 = 4                        x^2 = -1
x = +- 2                       x = +- i

#10 Re: Help Me ! » Help with Sigma Notation » 2005-12-14 17:57:30

n <- end of the sequence
Σ (Equation)
k = 1  <- starting

#11 Help Me ! » Log Question » 2005-12-14 17:17:15

MajikWaffle
Replies: 5

http://img228.imageshack.us/img228/1799/untitled8av.png

can someone explain this to me?

Board footer

Powered by FluxBB