Matrices and Systems of Linear Equations

The inverse of Matrix B is:

• 
• 
• 
• 

If matrices A and B are inverse of each other then

• AB=BA

• AB=BA=I

• AB=BA=O

• AB=O, BA= I

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

• Undefined

• [9]
  [-9]

• [-9]
  [9]

• [11]
  [-9]

Find the product.

• undefined

• -3   16
  17   12
  8   -10

• 3   12 
  -15  -8
  -1   -3

Multiply: [A]^-1.[B]

• 
• 
• 
• A^-1 Does not Exist. It is Singular.

have the same dimensions and equal corresponding elements

• Matrix Equation

• Zero matrix

• Equal matrices

• Scalar

a matrix with ones along the main diagonal and zeros elsewhere

• Scalar Multiplication

• Square Matrix

• Multiplicative Identity Matrix

• Multiplicative Inverse Matrix

Solve the system of equations: 

• ( -2, 3, -3)

• None of these

• ( -2, -3, 3)

• ( -3, 3, -2)

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