Linear combinations 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
Calculate (3, 1) + (2, 5)Type the answer.
2 Question 2
Calculate 2(3, −1)Type the answer.
3 Question 3
Calculate 3(1, 2, 0)Type the answer.
4 Question 4
Calculate −2(3, 1)Type the answer.
5 Question 5
Calculate 3(2, −1) + 2(1, 4)Type the answer.
6 Question 6
Calculate (1, 2, 3, 4) + (0, −1, 2, 5)Type the answer.
7 Question 7
Calculate −2(1, 3) + (5, 2)Type the answer.
8 Question 8
Calculate 2u + v for u = (3, −2), v = (−1, 5)Type the answer.
9 Question 9
Calculate u + 2v − w for u = (1, 0, 2), v = (0, 1, −1), w = (3, 1, 1)Type the answer.
10 Question 10
Calculate 3(2, 1, −2) − 2(3, 0, −1) + (0, 4, 1)Type the answer.