Random
Inverses
Vocab / Properties
Addition and Subtraction
Matrix Multiplication
100
Identify element a23 from A =
2
100
How do you know if two matrices are inverses?
When you multiply them together, their product equals an Identity matrix.
100
The term used to refer to the number of rows and columns in a matrix
Dimensions
100
What is the rule for determining if two matrices can be added or subtracted together?
The matrices have to be the exact same dimensions (equal number of rows and columns)
100
Can the following matrices be multiplied together? How do you know?
[[1,2],[3, 4],[5, 6]] [[1,2, 3],[4, 5, 6]]
Yes, because the first matrix is a 3x2, and the second matrix is a 2x3. Since the second matrix has the same number of rows, as the first one has columns (2), these matrices can be multiplied together.
200
Find the determinant:
[[6,4],[-9,3]]
54
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
If Matrix A is a 2x3 and Matrix B is a 2x3, then if you add them together, what will be the dimensions of the new matrix created?
2x3
200
Simplify the following matrices based problem:
200
Solve the following operations:
2[[1,-2],[-3, 4],[5, -6]] + [[-7,8],[9, -10],[-11, 12]]
[[-5,4],[3,-2],[-1,0]]
300
This matrix has the same number of rows as columns.
Square Matrix
300
What is the inverse of
[[3,2],[4,1]]
[[-1/5,2/5],[4/5,-3/5]]
300
What is the name of C if a matrix is multiplied by its inverse?
A * A-1 = C
Identity Matrix
300
Given Matrix X and Matrix Y. What is Y-X?
Matrix X=
[[2,-3],[-1,4]]
Matrix Y=
[[-4,1],[3,-2]]
[[-6,4],[4,-6]]
300
What is AxB?
Matrix A=
[[1,1],[1,1]]
Matrix B=
[[0,3],[4,4]]
[[4,7],[4,7]]
400
Find all three separate determinants:
[[-4,3],[-1,2]] , [[6,4],[-2,3]], and [[-8,-5],[3,0]]
-5, 26, and 15
400
Find the inverse of the following matrix:
[[3, 4],[-2, -1]]
[[-1/5, -4/5],[2/5, 3/5]]
400
In the equation 3A + B, where A and B are matrices, what is the correct name for the operation of 3*A
scalar multiplication
400
Subtract:
[[1,-2, -1],[-3, 4, 3],[5, -6, -5]] - [[-2, 1, 2], [4, 3, -4], [-6, -5, 6]]
[[3,-3,-3],[-7,1,7],[11,-1,-11]]
400
What is AxB?
matrix A=
[[4,3],[9,7]]
matrix B=
[[6,3],[9,4]]
[[51,24],[117,55]]
500
What is 2A - B + 4C?
A = [[4,3],[-1,-5]]; B = [[3,-3],[4,-5]]; C=[[-1,0],[-2,-4]]
[[1,9],[-14,-21]]
500
Are the following matrices inverses of each other?
How do you know?
[[2,1],[7,4]] and [[4,-1],[7,2]]
yes, when multiplied together they produce the Identity Matrix,
[[1,0],[0,1]]
500
If Matrix A is a 4x3 matrix and Matrix B is a 3x5 matrix, what are the dimensions of A x B?
4 x 5
500
1/2C - A
What is
|-7 -8.5|
|5 5|
500
Solve the following multiplication:
[[1,2, -2, -1],[-3, -4, 4, 3]] xx [[5],[6],[7],[8]]
[[-5],[13]]