Advanced Math - Chapter 8: Matrices and Determinants
Authored by Caitlyn Beyer
Mathematics
12th Grade
Used 1+ times
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Determine the order of the matrix.
⌈ 3 -1 0 6 ⌉
⌊ -2 7 1 4 ⌋
The order of the matrix is 2 x 4.
The order of the matrix is 4 x 2.
The order of the matrix is 2 x 3.
The order of the matrix is 3 x 2.
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Determine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced row-echelon form.
⌈ 1 0 2 1 ⌉
| 0 1 -3 10 |
⌊ 0 0 1 0 ⌋
The matrix is in row-echelon form but not in reduced row-echelon form.
The matrix is not in row-echelon form.
The matrix is in reduced row-echelon form.
The matrix is neither in row-echelon form nor in reduced row-echelon form.
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Determine whether each matrix is in row-echelon form. If it is, determine whether it is in reduced row-echelon form.
⌈ 1 0 0 0 ⌉
| 0 1 1 5 |
⌊ 0 0 0 0 ⌋
The matrix is in row-echelon form but not in reduced row-echelon form.
The matrix is not in row-echelon form.
The matrix is in reduced row-echelon form.
The matrix is neither in row-echelon form nor in reduced row-echelon form.
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve the system using Gaussian Elimination with matrices.
2x + 3y + z = 10
2x - 3y - 3z = 22
4x - 2y + 3z = -2
(5, 2, -6)
(5, 2, 6)
(6, 2, 5)
(2, 5, -6)
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve the system using Gauss-Jordan elimination with matrices.
-x + y - z = -14
2x - y + z = 21
3x + 2y + z = 19
(2, 3, 4)
(4, 3, 7)
(7, -3, 4)
(2, -3, 4)
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find 3A - 2B.
A = ⌈ 1 -1 ⌉ B = ⌈2 -1 ⌉
⌊2 -1 ⌋ ⌊-1 8 ⌋
⌈ 1 1 ⌉
⌊ 8 19 ⌋
⌈ -1 -1 ⌉
⌊ 8 -19 ⌋
⌈ 9 -5 ⌉
⌊ 4 -19 ⌋
⌈ 8 -19 ⌉
⌊ -1 -1 ⌋
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Solve for X in the equation X - 3A = -2B.
A = ⌈ -2 -1 ⌉ B = ⌈ 0 3 ⌉
| 1 0 | | 2 0 |
⌊ 3 -4 ⌋ ⌊ -4 -1 ⌋
⌈ 6 9 ⌉
| 1 0 |
⌊17 10 ⌋
⌈ 6 -3 ⌉
| -7 0 |
⌊-1 14 ⌋
⌈ -6 -9 ⌉
| -1 0 |
⌊17 -10 ⌋
⌈ 6 3 ⌉
| 7 0 |
⌊1 14 ⌋
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