The number of 3xx3 non singular matrices...

The number of `3xx3` non singular matrices, with four entries is 1 and all other entries as 0, is

A

5

B

6

C

at least 7

D

less than 4

Text Solution

Verified by Experts

The correct Answer is:

C

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Knowledge Check

The number of 3xx3 non singular matrices with four entries as 1 and all other entries as 0 is

A

`lt4`

B

`5`

C

6

D

at least 7

If A,B are two n xx n non-singular matrices, then

A

AB is non-singular

B

AB is singular

C

`(AB)^(-1)=A^(-1)B^(-1)`

D

`(AB)^(-1)` does not exist

The number of 3xx3 matrices A whose entries are either 0 or 1 and for which the system of equations A [(x),(y),(z)]=[(2),(0),(3)] has exactly five distinct solution is

A

0

B

511

C

1024

D

5

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