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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.
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.
Multiply 56 by (3 + 1/8) then divide by 25.
It's cross multiplying.
a/b = c/d
ad = bc
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?
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.
Heh, the problem changed once he figured it was unsolvable including the linked image. ![]()
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
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...
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 ![]()
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
n <- end of the sequence
Σ (Equation)
k = 1 <- starting
http://img228.imageshack.us/img228/1799/untitled8av.png
can someone explain this to me?
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