If ${\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&0&{ - 2}\ 2&{ - 3}&4 \end{array}} \right]$, then the matrix X for which 2X + 3A = 0 holds true is

Question

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - \frac{3}{2}}&0&{ - 3}\ { - 3}&{ - \frac{9}{2}}&{ - 6} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} {\frac{3}{2}}&0&{ - 3}\ 3&{ - \frac{9}{2}}&{ - 6} \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} {\frac{3}{2}}&0&3\ 3&{\frac{9}{2}}&6 \end{array}} \right]$

TuteeHUB · Answer

$\left[ {\begin{array}{*{20}{c}} { - \frac{3}{2}}&0&3\ { - 3}&{\frac{9}{2}}&{ - 6} \end{array}} \right]$

1.	If \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&0&{ - 2}\\ 2&{ - 3}&4 \end{array}} \right]\), then the matrix X for which 2X + 3A = 0 holds true is
A.	\(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{2}}&0&{ - 3}\\ { - 3}&{ - \frac{9}{2}}&{ - 6} \end{array}} \right]\)
B.	\(\left[ {\begin{array}{*{20}{c}} {\frac{3}{2}}&0&{ - 3}\\ 3&{ - \frac{9}{2}}&{ - 6} \end{array}} \right]\)
C.	\(\left[ {\begin{array}{*{20}{c}} {\frac{3}{2}}&0&3\\ 3&{\frac{9}{2}}&6 \end{array}} \right]\)
D.	\(\left[ {\begin{array}{*{20}{c}} { - \frac{3}{2}}&0&3\\ { - 3}&{\frac{9}{2}}&{ - 6} \end{array}} \right]\)
Answer» E.

If \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&0&{ - 2}\\ 2&{ - 3}&4 \end{array}} \right]\), then the matrix X for which 2X + 3A = 0 holds true is