If [A = [ *20c 15 62 ]] and [B = [ *20c 37 84 ],AB^T] is equal to

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Linear Algebra

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) \[\left[ {\begin{array}{*{20}{c}} {38}&{28} \\ {32}&{56} \end{array}} \right]\] 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 & Solution

Correct Answer: Option A

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If text A = left begin array 20 c 1&5 6&2...

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

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Related Questions on Linear Algebra

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