Question

Prove that a unit matrix is its own inverse. Is the converse true ?​

Answer 1

Answer:

Is the converse true? For any matrix AA, the matrix BB is the inverse of AA if A⋅B=B⋅A=IA⋅B=B⋅A=I, where II is the identity matrix. Since I⋅I=II⋅I=I by definition, then the matrix II is the inverse of the matrix

Answer 2

Answer:

For any matrix AA, the matrix BB is the inverse of AA if A⋅B=B⋅A=IA⋅B=B⋅A=I, where II is the identity matrix. Since I⋅I=II⋅I=I by definition, then the matrix II is the inverse of the matrix II

Step-by-step explanation:

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