Let 2A+B = [ * 20 c 1&0&3 - 1 &4&6 2&5&2 ], ,A - 2B = [ * 20 c 2&… - Vidyadip

MCQ

Let $2A+B = \left[ {\begin{array}{*{20}{c}}
1&0&3 \\
{ - 1}&4&6 \\
2&5&2
\end{array}} \right],\,A - 2B = \left[ {\begin{array}{*{20}{c}}
2&{ - 1}&5 \\
0&3&6 \\
1&2&1
\end{array}} \right]$ . Then $Tr(A) -Tr(B)$ has the value equal to (where $Tr(A)$ denotes the trace of matrix $A$)

A
$3$
✓
$5$
C
$6$
D
$7$

✓

Answer

Correct option: B.

$5$

b
$2Tr(A) + Tr(B) = 7$
and $Tr(A)\ -2Tr(B) = 6$
$\Rightarrow Tr(A) = 4\ and\ Tr(B) =\ -1$

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