Consider the matrices A = [ * 20 c 4&6& - 1 3&0&2 1& - 2 &5 ] , B = [ * 20 c 2&4 0&1 - 1 &2 ] , C = [ * 20 c 3 1 2 ] . Out of the given matrix products (i) (AB)^TC (ii) C^TC(AB)^T (iii) C^TAB and (iv) A^TABB^TC

Consider the matrices A = [ * 20 c 4&6& - 1 3&0&2 1& - 2 &5 ] , B…

MCQ

Consider the matrices $A =$ $\left[ {\begin{array}{*{20}{c}}4&6&{ - 1}\\3&0&2\\1&{ - 2}&5\end{array}} \right]$ , $B =$ $\left[ {\begin{array}{*{20}{c}}2&4\\0&1\\{ - 1}&2\end{array}} \right]$ , $C =$ $\left[{\begin{array}{*{20}{c}}3\\1\\2\end{array}} \right]$ . Out of the given matrix products
$(i)$ $(AB)^TC$ $(ii)$ $C^TC(AB)^T$ $(iii)$ $C^TAB$ and $(iv)$ $A^TABB^TC$

A
exactly one is defined
B
exactly two are defined
✓
exactly three are defined
D
all four are defined

✓

Answer

Correct option: C.

exactly three are defined

c
$(i), (iii)$ and $(iv)$ are correct

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