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
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 = 22x + 3y = 14