AP EAMCET · Maths · Matrices
If \(A+2 B=\left(\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right)\) and \(2 A-B=\left(\begin{array}{ccc}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right)\) then \(\operatorname{Tr}[\mathrm{A}]-\operatorname{Tr}[\mathrm{B}]=\)
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{A}+2 \mathrm{~B}=\left(\begin{array}{ccc}1 & 2 & 0 \\ 6 & -3 & 3 \\ -5 & 3 & 1\end{array}\right) ; 2 \mathrm{~A}-\mathrm{B}=\left(\begin{array}{ccc}2 & -1 & 5 \\ 2 & -1 & 6 \\ 0 & 1 & 2\end{array}\right) \\ & \text { Now, }(\mathrm{A}+2…
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