MATH 152 Memorize

projection about a line

use direction vector

reflection about a line formula

2Proj - Identity

how to check if a matrix is a reflection (reflection transformation)

If your matrix resembles this then you can try:

a²+b²=1

if true = reflection

det(2B) how to calculate?

2^n * det(B) where n = rows/size

linearly independant gaussian format

staircase of 1’s

can have totally 0 row

probability at infinity

Px = x (P = transition matrix)

x+y=1

proving linear transformations (formulas)

T(x+y)=T(x)+T(y)

T(cx)=cT(x)

signage and junctions: resistor networks

Resistors: current touches positive side of resistor → positive

Battery: current touches negative side → negative

Current coming in - opposing current

ccw rotation

cw rotation

reflection angle matrix

projection angle matrix

matrix multiplication requirements

#cols A = #rows B

row by col