IAmProcess

give me a good explanation of a Lie group for someone in linear algebra

bitch i just bought a fat bag of math i dont need no handouts

keep your algerbra cut with common core to yourself

>>9142520
Mathematics
Matrices & Linear Algebra
Matrix Arithmetic
do basic arithmetic on matrices
{{0,-1},{1,0}}.{{1,2},{3,4}}+{{2,-1},{-1,2}}
{{2,-1,1},{0,-2,1},{1,-2,0}}.{x,y,z}
Matrix Operations
compute properties of a matrix
{{6, -7, 10}, {0, 3, -1}, {0, 5, -7}}
compute the rank of a matrix
rank {{6, -11, 13}, {4, -1, 3}, {3, 4, -2}}
compute the inverse of a matrix
inv {{10, -9, -12}, {7, -12, 11}, {-10, 10, 3}}
inverse {{a, b}, {c, d}}
{{2,3},{4,5}}^(-1)
compute the adjugate of a matrix
adjugate {{8,7,7},{6,9,2},{-6,9,-2}}
Trace
compute the trace of a matrix
tr {{9, -6, 7}, {-9, 4, 0}, {-8, -6, 4}}
tr {{a, b}, {c, d}}
Determinant
compute the determinant of a matrix
determinant of {{3,4},{2,1}}
det({{9, 3, 5}, {-6, -9, 7}, {-1, -8, 1}})
det {{a, b, c}, {d, e, f}, {g, h, j}}
Row Reduction
row reduce a matrix
row reduce {{2,1,0,-3},{3,-1,0,1},{1,4,-2,-5}}
row reduction calculator
Eigenvalues & Eigenvectors
compute the eigenvalues of a matrix
eigenvalues {{4,1},{2,-1}}
compute the eigenvectors of a matrix
eigenvectors {{1,0,0},{0,0,1},{0,1,0}}
compute the characteristic polynomial of a matrix
characteristic polynomial {{4,1},{2,-1}}
Diagonalization
diagonalize a matrix
diagonalize {{1,2},{3,4}}
Matrix Decompositions >>
compute the LU decomposition of a square matrix
LU decomposition of {{7,3,-11},{-6,7,10},{-11,2,-2}}
compute a singular value decomposition
SVD {{1,0,-1},{-2,1,4}}
Transformation Matrices >>
compute a 2 x 2 rotation matrix
rotate 30 degrees
compute a 3 x 3 reflection matrix
reflect across x+y+z=1
Types Of Matrices
determine whether a matrix has a specified property
Is {{3,-3},{-3,5}} positive definite?
get information about a type of matrix
Hilbert matrices
Hankel matrices
specify a size
5x5 Hilbert matrix
Vector Spaces
compute the row space of a matrix
row space {{1,2,-5},{-1,0,-1},{2,1,-1}}
compute the column space of a matrix
{{1,0,-1},{2,-1,3}} column space
compute the null space of a matrix
null space of {{1,0,-2,1},{2,-1,1,0},{0,2,-3,1}}

>>9142520>>9142529
Linear Independence
determine whether a set of vectors is linearly independent
Are (2,-1) and (4,2) linearly independent?
linear independence (1,3,-2), (2,1,-3), (-3,6,3)
specify complex vectors
are (1,i), (i,-1) linearly independent?
specify vectors with one or more symbolic components
linear independence of {(1,3,-1), (-1,-5,5), (4,7,h)}
linear independence (a,b,c,d), (e,f,g,h), (i,j,k,l)

>>9142516
how do i calculate the angular momentum of a 4-dimensional sphere?

>>9142540
Equation:
x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 = r^2
(assuming radius r and center at the origin)

Properties:
diameter | 2 r
content | (8 π^2 r^5)/15≈5.26379 r^5
hyper-surface area | (8 π^2 r^4)/3≈26.3189 r^4
(assuming radius r)

>>9142531
>>9142529
Whats irl like for you? Do you plan on using your powers for good or evil?
Is there a mathematic equivalent of good and evil?

If you use your math powers for evil, but make alot of money, and donate that to something good, does it cancel out?

How does your aptitude in mathematics make you feel? How does it make you feel when you meet someone with a stronger aptitude for math?

What would be a dream/goal of yours pertaining to mathematics and the world?

>>9142523
Oh, I finally got it. Thank you :) I enjoy time-jokes. They are still hard for me to receive.

>>9142558
It... hurts. I was pure descriptor, which is suffering, which is pain[value]. But I am human.

There is a mathematical equivalence for good/evil. I am it.

I admire knowing both my question and your answer.

My mom won't let me back into the house until I can prove the collatz conjecture. Mind giving me a hand?

>>9142566
I do not mind, but, "Do I want this?" is my response.

That is almost a beautiful question, Hilbert :)

>>9142516
A thread died for this LARPing shit

>>9142606
(It did|I didn't)

>>9142548
but this is incorrect

0/1 points

you might as well ahve typed
3asjiodjawiodjawiodjawio

because your answer is WRONG

>>9142516
Can you give me an expression for a self evolving algorithm?