Operations with Matrices
Linear Programming
Solving Systems of Equations
Complex Number Operations
Anything Goes!
100
The product of a 3 x 2 matrix and a 2 x 4 matrix
What is a 3 x 4 matrix
100
One difference between graphing equations and graphing inequalities - this answer does not have to be in question form
Shading, sometimes the lines are dashed
100
These four methods can be used to solve systems of equations
What are graphing, substitution, elimination,and matrix operations
100
The complex conjugate of 2 + 3i
What is 2 - 3i
100
The multiplicative inverse of -3
What is -(1/3)
200
True or false: The sum of a 3 x 2 matrix and a 2 x 3 matrix is a 3 x 3 matrix.
False - the two matrices can not be added because they are not the same size. In order to add two matrices, they must be the same size
200
The vertices or points that connect to make the feasibility region
What are the feasibility corners or corners of feasibility
200
When solving a system of equations using matrices, we use these three matrices to break up the system
What are the Coefficient matrix, the variable matrix and the answer matrix
200
The reason why "i" can not be in the denominator of a fraction (question form not required)
Square roots can not be in the denominator of a fraction
200
The coordinates of the Y-intercept of y = 3x - 4
What is (0,-4)
300
The entry that occupies the second row and the second column of a 3 x 3 identity matrix that has been multiplied by -1/2
What is (-1/2)
300
A linear programming problem requires us to maximize or minimize things like profit or cost. This is the equation we use to maximize or minimize.
What is the objective equation
300
When solving a system of equations with 3 unknowns, the variable matrix must be this dimension
What is 3 x 1
300
a + bi
What is the standard form of a complex number
300
The standard form of a linear equation
What is ax + by = c
400
The product of a matrix and it's inverse
What is the identity matrix
400
The Apple Company makes iPods and iPads. iPods require 3 hours in assembly and 1 hour in finishing. iPads require 4 hours in assembly and 2 hours in finishing. The assembly department is open for less than 100 hours per week and the finishing department is open for less than 50 hours per week. Let x = the number of iPods created and let y = the number of iPads created. This inequality represents the assembly constraint in this linear programming problem.
What is 3x + 4y < 100
400
While attempting to solve a system of equations, you discover that the determinant of your coeficient matrix is 0, for this reason you can not solve the system of equations. (question form not required)
The coefficient matrix is not invertible
400
Let a + bi be a complex number. If I multiply a + bi by this complex number I will get a real number as the product.
What is a - bi
400
When solving a system of equations, the number of equations and the number of these must always be equal
What is the number of unknowns
500
Let A, B, and C be Matrices such that the product of B and C is A. This matrix is the product of the inverse of B and A.
What is matrix C
500
The lines y = 2x + 1 and y = 5 intersect at this point
What is the point (2,5)
500
Let A be a 3 x 3 matrix and let B be another 3 x 3 matrix, such A * B = The 3 x 3 Identity matrix and B * A = The 3 x 3 Identity matrix. Matrix B is this with respect to matrix A
What is the inverse of matrix A
500
The square root of -125
What is 5i root 5 or 5i times the square root of 5
500
The sum of a real number and it's additive inverse
What is 0