
Understanding Singular Matrices and Determinants

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a singular matrix?
A matrix with all zero elements
A matrix with a non-zero determinant
A matrix that is invertible
A matrix with a determinant of zero
Tags
CCSS.HSA.REI.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the determinant set to zero when finding a singular matrix?
To find the inverse of the matrix
To ensure the matrix is invertible
To confirm the matrix is singular
To calculate the eigenvalues
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the determinant of a 2x2 matrix with elements a, b, c, and d?
ab + cd
a - b - c - d
ad - bc
a + b + c + d
Tags
CCSS.HSN.VM.C.11
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which operation is performed after expanding the products in the determinant calculation?
Finding the inverse
Combining like terms
Calculating the trace
Transposing the matrix
Tags
CCSS.8.EE.C.7B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of equation is formed when setting the determinant to zero?
Exponential equation
Linear equation
Cubic equation
Quadratic equation
Tags
CCSS.HSA-REI.B.4B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the solutions to the quadratic equation in this context?
The eigenvalues of the matrix
The inverse of the matrix
The possible values of Lambda
The trace of the matrix
Tags
CCSS.HSA.REI.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which value of Lambda makes the matrix singular?
-6
-5
5
0
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