Linear Algebra Practice Test: answer key

Every answer, with a link to its step-by-step solution

#	Answer	Lesson	Solution
1	(5, 6)	Linear combinations	Solved step by step
2	(3, 6, 0)	Linear combinations	Solved step by step
3	(8, 5)	Linear combinations	Solved step by step
4	(5, 1)	Linear combinations	Solved step by step
5	(0, 7, −3)	Linear combinations	Solved step by step
6	1	Rank and column space	Solved step by step
7	1	Rank and column space	Solved step by step
8	2	Rank and column space	Solved step by step
9	1	Rank and column space	Solved step by step
10	2	Rank and column space	Solved step by step
11	D = −6	Determinant rules	Solved step by step
12	det(A^T) = 6	Determinant rules	Solved step by step
13	D = −1	Determinant rules	Solved step by step
14	D = 24	Determinant rules	Solved step by step
15	det(−A) = 2	Determinant rules	Solved step by step
16	12	Dot product and length	Solved step by step
17	1	Dot product and length	Solved step by step
18	3	Dot product and length	Solved step by step
19	2√6	Dot product and length	Solved step by step
20	√15	Dot product and length	Solved step by step
21	y = 2x + 3	Least squares line	Solved step by step
22	y = −12x + 3	Least squares line	Solved step by step
23	y = x + 23	Least squares line	Solved step by step
24	y = x + 2	Least squares line	Solved step by step
25	y = 65x + 910	Least squares line	Solved step by step

Grade

Count your right answers and divide by the number of questions: A 90% or more, B 80%, C 70%, D 60%, F below 60%.