+/- Matrices
Multiplication
Determinants
Inverses
Mixed up
100
This is the process for adding two Matrices together
What is you add each number/element in matrix A by each number/element in matrix B
100
This is required in order to multiplying matrices.
The number of columns of the first matrix must equal the number of rows of the 2nd matrix.
100
What is the formula for the determinant of a 2x2 matrix?
[ a b ]
[ c d ]
What is ad - bc?
100
What has to be true for a matrix to have an inverse?
What is a non-zero determinant?
100
This is the star of the movie The Matrix
Who is Keanu Reeves?
200
To add or subtract two matrices together, they have to have ?
What is the same order or dimension?
200
5[1 3 5]=
What is [5 15 25]
200
The shape a matrix must be in to have a determinant.
What is a square matrix?
200
Will the following matrix have an inverse? How do you know?
[[3, 3],[-1, -1]]
No it will not have an inverse. You know because the determinant is zero.
200
Identify element a23 from A =
What is a23 = 2
300
Simplify
300
What is AxB?
matrix A=
[[4,3],[9,7]]
matrix B=
[[6,3],[9,4]]
[[51,24],[117,55]]
300
What notation is used to denote a determinant?
What are vertical bars |A|?
300
Determine the inverse of
3 -4
5 -6
-3 2
-5/2 3/2
300
The dimensions of the following matrix:
What are 4 x 2?
or
What are 4 rows by 2 columns
400
[9 3 7]-[6 1 5]
What is [3 2 2]
400
Do the following, and determine a13 of result:
20
400
Evaluate the determinant of
[ 2 -11 ]
[ 0 0 ]
What is 0?
400
Find the inverse of the following matrix:
[[3, 4],[-2, -1]]
[[-1/5, -4/5],[2/5, 3/5]]
400
Find the determinant:
[[6,4],[-9,3]]
54
500
Solve the following operations:
2[[1,-2],[-3, 4],[5, -6]] + [[-7,8],[9, -10],[-11, 12]]
[[-5,4],[3,-2],[-1,0]]
500
What is AxB?
Matrix A=
[[1,1],[1,1]]
Matrix B=
[[0,3],[4,4]]
[[4,7],[4,7]]
500
Evaluate the determinant of
[ 6 -2 ]
[ 5 1 ]
What is 16?
500
Find the inverse of the following matrix:
[[3, 4],[-2, -1]]
[[-1/5,-4/5],[2/5,3/5]]
500
In the answer, what is a12
What is a12 = -11?