Matrix Operations. Matrix Equations/Inverses. Determinants. Other Junk. 100. 100. 100. 100. 200. 200. 200. 200. 300. 300. 300. 300. 400. 400. 400. 400. Row 1, Col 1. The 2x2 zero matrix. Find AB. 1,2. The 2x2 identity matrix. Find the inverse of the 2x2 identity matrix.
The 2x2 zero matrix.
The 2x2 identity matrix
Find the inverse of the 2x2
Find the area of the triangle with vertices
A(-3,2), B(-1,4), C(-4,3)
Where does the word "cryptography" come from?
(A) Latin words meaning "hidden writing"
(B) Greek words meaning "hidden writing”
(C) Latin words meaning "cryptic writing"
(D) Greek words meaning "cryptic writing
Not enough information to tell
Suppose the product AB is a 4x4
matrix. We know that A has 4 rows.
How many rows does B have?
Solve the matrix equation.
Consider the matrices below. How is det(AB) related to det(A) and det(B)?
(20, -1, -12, -8)
Write a matrix equation and
solve with your graphing
Two softball teams submit equipment lists for the season:
12 bats 15 bats
45 balls 38 balls
15 uniforms 17 uniforms
Each bat costs $21, each ball costs $4, and each uniform costs $30. Let A be your equipment matrix and B be your cost matrix. Find the product AB to show the matrix representing the total cost for each team.
Find a formula for (ABC)-1
similar to the one we found in
class for (AB)-1. SHOW that
your formula holds in general.
What is the determinant
If you are using Cramer’s Rule
to solve the following system for z,
write the matrix which we take
the determinant of which goes in
All 3 of these are true
The transpose of a matrix A is
the matrix formed by interchanging
the rows and the columns of A.
How many of the following are true (0, 1, 2, or 3)? Name the true properties.
Gabriel and Cosmo
What was Cramer’s first name
(the math one!)?
What was Kramer’s first name
(the Seinfeld one!)?
Must know BOTH for the points.
This is false. For instance, consider A and B both as 2x2 identity matrices to get a counterexample to the claim.
Prove or disprove
(with a counterexample):
For any matrices A and B,
Graphing, Linear Combination/Elimination, Substitution, Cramer’s Rule, Calculator/RREF, Inverse Matrices
Name six methods you could use
to solve a system of two equations
in two variables.
(All six or nothing!)