UTMA Linear Systems and Matrices

Question 1

What is the solution to the system: x + y = 5 and x − y = 1?

Accepted Answer

x=3, y=2

Answer

x=2, y=3

Answer

x=4, y=1

Answer

x=1, y=4

Question 2

What is the determinant of the matrix [[2, 3],[1, 4]]?

Accepted Answer

5

Answer

8

Answer

11

Answer

−5

Question 3

Which method eliminates a variable by multiplying equations?

Accepted Answer

Elimination

Answer

Substitution

Answer

Graphing

Answer

Matrix inversion

Question 4

How many solutions does the system y = 2x + 1 and y = 2x − 3 have?

Accepted Answer

None

Answer

Exactly one

Answer

Exactly two

Answer

Infinitely many

Question 5

What is the product of matrices A = [[1,0],[0,1]] and B = [[3,4],[5,6]]?

Accepted Answer

[[3,4],[5,6]]

Answer

[[1,0],[0,1]]

Answer

[[4,4],[5,7]]

Answer

[[8,10],[5,6]]

Question 6

In Gaussian elimination, what is the goal of row operations?

Accepted Answer

To convert the matrix to row echelon form

Answer

To swap all rows

Answer

To multiply all entries by −1

Answer

To add rows randomly