Linear Algebra
An operation with matrices that cannot be done
What is matrix division?
sin x / cos x
What is tangent (tan x)
sqrt (-1)
What is i?
Polynomial functions f(x) / g(x) where g(x) is not = 0
What is a rational function?
The outputs you can get from a function
What is range?
The matrix operation where you multiply the numbers in rows by the numbers in respective columns and add those numbers together to get an entry
What is matrix multiplication
sin (-x)
What is sin (-x)
(5 - i) / (2 + i) * (2 - i) / (2 - i)
What is (5 - i) / (2 + i)
First team to find the simplified answer gets double points! ;-)
A polynomial of this degree can have at most five zeros
What number of zeros can a polynomial of degree five have?
Your result is the original input
What happens when you compose a function with its inverse and input a number?
For a 2 by 2 the matrix, |A| = (a x c) - (b x d)
What is the determinant of A
(The cos is) √3/2
What is cos (π/6)
-1
What is i2
The zeros of this factored polynomial are at x = -3, 0, 18
What are the zeros of the polynomial x(x + 3)(x - 18)
D: [0, +inf)
R: [0, +inf)
What is the domain and range of the square root function?
There is no inverse matrix
What happens when the determinant of a matrix = 0
225° in radians
What is 5π/4
1
What is i2
A parabola or shape resembling one
f inverse of x = 5x - 1
What is the inverse of f(x) = (x+1)/5
A matrix containing only the coefficients from a system of equations
What is a coefficient matrix?
(0, -1) on the Unit Circle
What is the coordinate of 270° or 3π/2
3 - 2i
What is the conjugate of 3 + 2i?
When you examine the end behavior of this basic parent function, you get a small negative number close to 0, but never actually 0
What happens to the function f(x) = 1/x as x approaches - inf?
A function that passes the horizontal line test
What is a one-to-one function?