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Engineering Maths · Q143

Linear Algebra

Engineering and GATE · Engineering Maths · question 143

Q143

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

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]
Answer

Answer: Option D

Solution

Answer: Option D
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