Linear Systems Using Matrices

Which option below correctly shows the steps to find the inverse of this matrix?

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• No Inverse Exists

When solving for C in the equation CD=E using inverse matrices, you use the equation:

• C=D^-1E

• C=ED^-1

• C=E^-1D

• C=DE^-1

Solve the following equation or state if there is no unique solution.

• Undefined

• [9]
  [-9]

• [-9]
  [9]

• [11]
  [-9]

Matrices are used to solve __________ systems of equations

• linear

• quadratic

If the inverse exists, the determinant

• is not zero

• could be zero

Write the augmented matrix for the system of linear equations.

2w – 3x + 4z = –12

–3w + 6y – 9z = 7

–x + 4y – 5z = 2

w + 6x + 4y = –9

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Write the augmented matrix for the system of linear equations.

4x + 3y – z = –10

–2x – y + 5z = 24

–3x + 2y – 6z = –11

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Solve the systems of equations by using matrix equations.

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Which matrix equation represents this system of equations?

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