If X = [ * 20 c - x & - y &t ] then transpose of adj X is - Vidyadip

MCQ

If $X = \left[ {\begin{array}{*{20}{c}}{ - x}&{ - y}\\z&t\end{array}} \right]$ then transpose of adj $X$ is

A
$\left[ {\begin{array}{*{20}{c}}t&z\\{ - y}&{ - x}\end{array}} \right]$
B
$\left[ {\begin{array}{*{20}{c}}t&y\\{ - z}&{ - x}\end{array}} \right]$
✓
$\left[ {\begin{array}{*{20}{c}}t&{ - z}\\y&{ - x}\end{array}} \right]$
D
None of these

✓

Answer

Correct option: C.

$\left[ {\begin{array}{*{20}{c}}t&{ - z}\\y&{ - x}\end{array}} \right]$

c
(c) $X = \left[ {\begin{array}{*{20}{c}}{ - x}&{ - y}\\z&t\end{array}} \right]\,\,;\,\,adj\,\,X = \left[ {\begin{array}{*{20}{c}}t&y\\{ - z}&{ - x}\end{array}} \right]$

Transpose of ($adj$ $(X))$ = $\left[ {\begin{array}{*{20}{c}}t&{ - z}\\y&{ - x}\end{array}} \right]$.

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