A) \[{{(AB)}^{T}}C\]
B) \[{{C}^{T}}C{{(AB)}^{T}}\]
C) \[{{C}^{T}}AB\]
D) \[{{A}^{T}}AB{{B}^{T}}C\]
Correct Answer: B
Solution :
[b] \[A\to 3\times 3,B\to 3\times 2,C\to 3\times 1\] \[AB\to 3\times 2\Rightarrow {{(AB)}^{T}}=2\times 3\Rightarrow {{(AB)}^{T}}C\] is defined \[\Rightarrow {{C}^{T}}\to 1\times 3,\Rightarrow {{C}^{T}}C\to 1\times 1\] Hence \[{{C}^{T}}C{{(AB)}^{T}}\] is not defined. Now, \[{{C}^{T}}AB\] is also defined. \[{{A}^{T}}\to 3\times 3,{{B}^{T}}\to 2\times 3;{{A}^{T}}A\to 3\times 3\] \[B{{B}^{T}}\to 3\times 3\Rightarrow {{A}^{T}}AB{{B}^{T}}\to 3\times 3\] \[\Rightarrow {{A}^{T}}AB{{B}^{T}}C\] is defined
You need to login to perform this action.
You will be redirected in
3 sec
