Inverse and Identity Matrices Can only be used for square matrices. (2x2, 3x3, etc.)

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Presentation transcript:

Inverse and Identity Matrices Can only be used for square matrices. (2x2, 3x3, etc.)

Identity Matrix identity – number used to keep a value the same identity matrix – matrix used to keep a matrix the same A*I = I*A = A

Inverse Matrix inverse – number used to get the identity inverse matrix – matrix used to get the identity matrix A*A -1 = A -1 *A = I

Inverse Matrix

Solving Systems 3x – 5y = -26 -x + 2y = 10

Solving Systems 3x – 5y = -26 -x + 2y = 10

Solving Systems 3x – 5y = -26 -x + 2y = 10

Solving Systems 3x – 5y = -26 -x + 2y = 10

Solving Systems 3x – 5y = -26 -x + 2y = 10

Solving Systems 3x – 5y = -26 -x + 2y = 10 ( -2, 4 )

Practice Solve the system using the inverse matrix. x – y = 2 2x + 3y = 14