If $A = \left( {\begin{array}{*{20}{c}} 1&2\ 2&3\ 3&4 \end{array}} \right)$ and $B = \left( {\begin{array}{*{20}{c}} 1&2\ 2&1 \end{array}} \right),$ then which one of the following is correct?

Question

If $A = \left( {\begin{array}{*{20}{c}} 1&2\ 2&3\ 3&4 \end{array}} \right)$ and $B = \left( {\begin{array}{*{20}{c}} 1&2\ 2&1 \end{array}} \right),$ then which one of the following is correct?

TuteeHUB · Accepted Answer

AB does not exist but BA exists

TuteeHUB · Answer

Both AB and BA exist

TuteeHUB · Answer

Neither AB nor BA exists

TuteeHUB · Answer

AB exists but BA does not exist

1.	If \(A = \left( {\begin{array}{{20}{c}} 1&2\\ 2&3\\ 3&4 \end{array}} \right)\) and \(B = \left( {\begin{array}{{20}{c}} 1&2\\ 2&1 \end{array}} \right),\) then which one of the following is correct?
A.	Both AB and BA exist
B.	Neither AB nor BA exists
C.	AB exists but BA does not exist
D.	AB does not exist but BA exists
Answer» D. AB does not exist but BA exists

If \(A = \left( {\begin{array}{{20}{c}} 1&2\\ 2&3\\ 3&4 \end{array}} \right)\) and \(B = \left( {\begin{array}{{20}{c}} 1&2\\ 2&1 \end{array}} \right),\) then which one of the following is correct?

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If \(A = \left( {\begin{array}{*{20}{c}} 1&2\\ 2&3\\ 3&4 \end{array}} \right)\) and \(B = \left( {\begin{array}{*{20}{c}} 1&2\\ 2&1 \end{array}} \right),\) then which one of the following is correct?

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If \(A = \left( {\begin{array}{{20}{c}} 1&2\\ 2&3\\ 3&4 \end{array}} \right)\) and \(B = \left( {\begin{array}{{20}{c}} 1&2\\ 2&1 \end{array}} \right),\) then which one of the following is correct?