
Linear Algebra Concepts and Applications

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

Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key characteristic of a homogeneous system of linear equations?
The constant term is non-zero.
The constant term is zero.
It has no solutions.
It always has a unique solution.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Under what condition does a homogeneous system have infinite solutions?
When the number of equations is greater than the number of variables.
When the number of variables is greater than the number of equations.
When all variables are zero.
When the number of variables is equal to the number of equations.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the result when x sub 2 equals zero?
x sub 1 equals three.
x sub 1 equals two.
x sub 1 equals one.
x sub 1 equals zero.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed to obtain a zero in the augmented matrix in the first example?
Multiply row two by -3 and add to row one
Multiply row one by -3 and add to row two
Add row one to row two
Subtract row two from row one
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many free variables are there in the second example?
One
Zero
Two
Three
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying row two by -1/3 in the second example?
The second row becomes 1, 1, 4, 0
The second row becomes 0, 1, -4, 0
The second row becomes 1, 0, -4, 0
The second row becomes 0, -1, 4, 0
Tags
CCSS.HSA.REI.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the parametric representation of x sub 3 in the second example?
x sub 3 equals zero
x sub 3 equals one
x sub 3 equals T
x sub 3 equals 4T
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