Matrices Solving Equations

Solve the system of equations: 

• ( -1, 6, 1)

• ( 1, 6, -1)

• None of these

• ( -6, -1, 1)

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system of equations: 

• ( 5, 1, -4)

• (-5, 3, -1)

• None of these

• ( -1, 5, -4)

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

Find A-B

• -3     1
  7     -1

• 1     0
  1     -4

• -4       0
  6     -1

• not possible because rows do not match columns

Find 2A-3B

• -3 1

  7 -1

• 1 0

  1 -4

• -4 0

  6 -1

• -14 -5

  11 -3

What do m, n, p and q equal in this scalar matrix multiplication?

• m=8, n=9, p=-4, q=4 

• m=15, n = -45, p=20, q=-5

• m=20, n=-5, p=15, q=-45

• m=-5, n=20, p=-45, q=15

State whether the linear system has one solution, no solution, or infinitely many solutions.

• One solution

• Infinitely many solutions

• No Solutions

• Cannot be determined

Can the system of equations be solved without performing any further row operations? Why or why not?

• No, you need to continue row operations until you get a row with all zeros on the left side.

• Yes, the last row tells you what z is, you can use that in the second row to find y, and you can use both in the first row to find x.

• Yes, you can tell from these rows that there are infinitely many solutions because one row is a multiple of another row.

• No, you need to continue row operations until you get all zeros and ones on the right side.

Solve the system of equations: 

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)