Matrices and Systems

What are the dimensions of this matrix?

• 2 x 3

• 3 x 2

• 6 x 1

• 1 x 6

Find the product of the two matrices.

• undefined

• -3   16
  17   12
  8   -10

• 3   12 
  -15  -8
  -1   -3

Which matrix is an identity matrix?

• A

• B

• C

• D

Solve the system using matrices.

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system of equations using matrices: 3x + 2y - z = 11, 2x - y + 3z = 4, and x + 3y - 2z = 9.

• The solution for the system of equations is x = 3, y = 2, and z = 1.

• The solution for the system of equations is x = 3, y = 1, and z = 2.

• The solution for the system of equations is x = 2, y = 3, and z = 1.

• The solution for the system of equations is x = 1, y = 3, and z = 2.

What is one type of math problem that students first learn to use matrices for?

• They learn how to use matrices to calculate logarithms.

• They learn how to use matrices to solve a system of equations.

• They learn how to use matrices for geometry.

• They learn how to use matrices to do factoring.

Solve the systems of equation using matrices.

• (4, 3, -1)

• (3, 8, 9)

• All Real Numbers

• No Solution

(CALCULATOR)

• x=-1

  y=2

  z=-2

• x=2

  y=1

  z=-1

• x=-2

  y=-1

  z=-2

• x=2

  y=2

  z=-1

What is a matrix with the same number of rows as columns?

• square

• monkey

• full set

• equivalent