
Matrix Inverses and Identity Matrices

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a defining characteristic of an identity matrix?
It has alternating ones and zeros.
It has all zeros.
It has ones along the main diagonal and zeros elsewhere.
It has ones everywhere.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you multiply a matrix by an identity matrix?
You get a zero matrix.
You get a matrix with all ones.
You get the original matrix back.
You get a matrix with alternating ones and zeros.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you identify an identity matrix on a calculator?
It has ones on the main diagonal and zeros elsewhere.
It is the default matrix.
It is the first matrix in the list.
It is labeled as 'I'.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying a matrix by its inverse?
A zero matrix
An identity matrix
A matrix with all ones
A matrix with alternating ones and zeros
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you denote the inverse of a matrix A?
A*
A^-1
A^2
A'
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for two matrices to be inverses of each other?
Their product is a matrix with alternating ones and zeros.
Their product is a matrix with all ones.
Their product is an identity matrix.
Their product is a zero matrix.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in verifying if two matrices are inverses?
Check if they are the same size.
Check if they have the same determinant.
Check if their product is an identity matrix.
Check if they are square matrices.
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