Determinant rules Quiz
10 questions · easy to harder · Linear Algebra · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 0 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Det by row operations [2, 1, 5; 0, 3, 4; 0, 0, −1]Type the answer.
2 Question 2
Det A = 3, det B = −2, find det(AB)Type the answer.
3 Question 3
Det A = 6, find det(AT)Type the answer.
4 Question 4
Det A = 2, A is 2 × 2, find det(3A)Type the answer.
5 Question 5
Det by row operations [1, 2, 3; 0, 1, 4; 2, 5, 9]Type the answer.
6 Question 6
Det by row operations [1, 2; 3, 4]Type the answer.
7 Question 7
Det by row operations [2, 4, 2; 1, 3, 4; 0, 1, 5]Type the answer.
8 Question 8
Det by row operations [3, 6, 3; 1, 4, 2; 2, 6, 7]Type the answer.
9 Question 9
Det by row operations [1, 2, 3; 2, 4, 7; 3, 5, 8]Type the answer.
10 Question 10
Det A = −2, A is 3 × 3, find det(−A)Type the answer.