If a matrix [A = [ *20c 24 13 ]] and matrix [B = [ *20c 46 59 ]] the transpose of product of these two matrices i.e., (AB)T is

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Linear Algebra

If a matrix \[{\text{A}} = \left[ {\begin{array}{{20}{c}} 2&4 \\ 1&3 \end{array}} \right]\] and matrix \[{\text{B}} = \left[ {\begin{array}{{20}{c}} 4&6 \\ 5&9 \end{array}} \right]\] the transpose of product of these two matrices i.e., (AB)^T is

A) \[\left[ {\begin{array}{*{20}{c}} {28}&{19} \\ {34}&{47} \end{array}} \right]\] B) \[\left[ {\begin{array}{*{20}{c}} {19}&{34} \\ {47}&{28} \end{array}} \right]\] C) \[\left[ {\begin{array}{*{20}{c}} {48}&{33} \\ {28}&{19} \end{array}} \right]\] D) \[\left[ {\begin{array}{*{20}{c}} {28}&{19} \\ {48}&{33} \end{array}} \right]\]

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Correct Answer: Option D

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If a matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 2&4 \\ 1&3 \end{array}} \right]\] and matrix \[{\text{B}} = \left[ {\begin{array}{*{20}{c}} 4&6 \\ 5&9 \end{array}} \right]\] the transpose of product of these two matrices i.e., (AB)T is

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Related Questions on Linear Algebra

If a matrix \[{\text{A}} = \left[ {\begin{array}{{20}{c}} 2&4 \\ 1&3 \end{array}} \right]\] and matrix \[{\text{B}} = \left[ {\begin{array}{{20}{c}} 4&6 \\ 5&9 \end{array}} \right]\] the transpose of product of these two matrices i.e., (AB)^T is