UTMA Linear Systems and Matrices 3

Question 1

What does it mean for a matrix to be singular?

Accepted Answer

Its determinant is 0

Answer

Its determinant is 1

Answer

All entries are equal

Answer

It is a square matrix

Question 2

Which of the following represents a linear equation?

Accepted Answer

y = 2x + 5

Answer

y = x²

Answer

y = √x

Answer

y = 1/x

Question 3

What is the solution to the system: 2x + 3y = 7 and 4x + 6y = 14?

Accepted Answer

Infinitely many solutions

Answer

x=1, y=5/3

Answer

No solution

Answer

x=7, y=0

Question 4

What is the rank of a 3×3 identity matrix?

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 5

Solve: x + 2y + z = 6, x − y + z = 3, 2x + y + 2z = 10. What is the value of y?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 6

What operation is NOT allowed in Gaussian elimination?

Accepted Answer

Multiplying a row by zero

Answer

Swapping two rows

Answer

Multiplying a row by a nonzero scalar

Answer

Adding a multiple of one row to another