If `O(A)=2xx3,O(B)=3xx2` andf `O(C)=3xx3`, which one of the followign is not defined?

Options

A. `CB+A'`
B. `BAC`
C. `C(A+B')'`
D. `C(A+B')`

Answer

D

Explanation

Here `O(A')=3xx2,O(B')=2xx3`
a. `CB+A'`
Now order of CB
`=("order of C is" 3xx3)("order of B is" 3xx2)`
Since `O(A')=3xx2`
`:.` Matrix `CB+A'` can be determined.
b. `O(BA)=3xx3` and `O(C)=3xx3`
`:.` Matrix BAC can be deterimined.
c. `O(A+B')=2xx3`
`impliesO(A+B')'=3xx2` and `O(C)=3xx3`
`:.` Matrix `C(A+B')'` can be determined.
d. `O(A+B')=2xx3`
and `O(C)=3xx3`
`:.` Matrix `C(A+B')` cannot be determined.