What does the column vector X represent in a matrix equation?

Matrix Operations and Inverses

Interactive Video
•
Mathematics, Physics, Computers
•
9th - 12th Grade
•
Hard

Emma Peterson
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The unknown variables
The coefficients of the equations
The right-hand side of the equations
The inverse of matrix A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Under what condition can we solve a matrix equation using the inverse of matrix A?
When matrix A is singular
When matrix A is invertible
When matrix A is diagonal
When matrix A is symmetric
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the determinant of a 2x2 matrix with elements [2, -2; -5, 4]?
10
8
0
-2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a 2x2 matrix?
Swapping the rows
Calculating the determinant
Transposing the matrix
Multiplying by a scalar
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying the inverse matrix by the column vector [7, -6]?
[-1, 1]
[7, -6]
[0, 0]
[1, -1]
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of S when the column vector X is [1, -1]?
0
1
-1
2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might it be beneficial to compute the inverse of a matrix once and use it multiple times?
To reduce the size of the matrix
To save time when the right-hand side changes
To avoid errors in calculations
To simplify the matrix
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