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Engineering Maths · Q14

Linear Algebra

Engineering and GATE · Engineering Maths · question 14

Q14

If \[ A = [ array*20c 1&5 \\ 6&2 array ]\] and \[ B = [ array*20c 3&7 \\ 8&4 array ],\, A B^ T\] is equal to

If {\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&5 \\ 6&2 \end{array}} \right]   and {\text{B}} = \left[ {\begin{array}{*{20}{c}} 3&7 \\ 8&4 \end{array}} \right],\,{\text{A}}{{\text{B}}^{\text{T}}}    is equal to
A.
\left[ {\begin{array}{*{20}{c}} {38}&{28} \\ {32}&{56} \end{array}} \right]
Answer
B.
\left[ {\begin{array}{*{20}{c}} 3&{40} \\ {42}&8 \end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}} {43}&{27} \\ {34}&{50} \end{array}} \right]
D.
\left[ {\begin{array}{*{20}{c}} {38}&{32} \\ {28}&{56} \end{array}} \right]

Answer: Option A

Solution

Answer: Option A
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