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Consider the following statements : 1....

Consider the following statements :
1. The product of two non-zero matrices can never be identity matrix.
2. The product of two non-zero matrices can never be zero matrix.
Which of the above statements is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
A, D
If `B=A^(-1),` then `AB=I` (identity matrix)
Therefore, statement 1 is false.
`I=[(1,0),(0,1)]andA=[(0,2),(2,0)]," then "IA=[(1,0),(0,1)]`
`[(0,2),(2,0)]=0`
Therefore, statement 2 is not correct.
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