Practice Algebra 2 2x2 Matrices, Determinants, and Inverses
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the dimensions of the product of two matrices A (3x2) and B (2x3)?
Back
3 X 3
2.
FLASHCARD QUESTION
Front
What is the first step to find the inverse of a 2x2 matrix?
Back
Calculate the determinant of the matrix.
3.
FLASHCARD QUESTION
Front
What is the formula for the determinant of a 2x2 matrix |A| = |a b; c d|?
Back
|A| = ad - bc.
4.
FLASHCARD QUESTION
Front
What does it mean if the determinant of a matrix is 0?
Back
The matrix is singular and does not have an inverse.
5.
FLASHCARD QUESTION
Front
How do you calculate the determinant of a 3x3 matrix?
Back
Use the rule of Sarrus or cofactor expansion.
6.
FLASHCARD QUESTION
Front
What is the determinant of the matrix |1 2 3; 4 5 6; 7 8 9|?
Back
0
7.
FLASHCARD QUESTION
Front
What is the inverse of a 2x2 matrix |a b; c d|?
Back
(1/det(A)) * |d -b; -c a| if det(A) ≠ 0.
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