If A - 2B - - 1 2 0- 6 -3 3- -5 3 1 - and 2A - B - - 2 -1 5- 2 -1 6- 0 1 2 - then trA - trB -

The correct option is B 2 tr(A) tr(B)=tr(A B) A B= 6A A 5 #160; (3B+2B) 5 A B= 3 5 ( 2A B ) 1 5 ( A+2B ) tr(A B)= 3 5 tr( ...

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Addition and Subtraction of a Matrix

If A + 2B =...

Question

If $A + 2 B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 0 6 & - 3 & 3 - 5 & 3 & 1 \end{matrix} ⎤ ⎥ ⎦$ and $2 A - B = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 1 & 5 2 & - 1 & 6 0 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦$ , then $t r (A) - t r (B) =$

1

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A + 2 B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 0 6 & - 3 & 3 - 5 & 3 & 1 \end{matrix} ⎤ ⎥ ⎦

2 A - B = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 1 & 5 2 & - 1 & 6 0 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦

A + 2 B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 0 6 & - 3 & 3 - 5 & 3 & 1 \end{matrix} ⎤ ⎥ ⎦

2 A - B = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 1 & 5 2 & - 1 & 6 0 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦

t r (A) - t r (B)

A + 2 B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 0 6 & - 3 & 3 - 5 & 3 & 1 \end{matrix} ⎤ ⎥ ⎦

2 A - B = ⎡ ⎢ ⎣ \begin{matrix} 2 & - 1 & 5 2 & - 1 & 6 0 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦ .

tr (A) - tr (B)

Let A + 2 B = ⎛ ⎜ ⎝ \begin{matrix} 1 & 2 & 0 6 & - 3 & 3 - 5 & 3 & 1 \end{matrix} ⎤ ⎥ ⎦ and 2 A - B = ⎛ ⎜ ⎝ \begin{matrix} 2 & - 1 & 5 2 & - 1 & 6 0 & 1 & 2 \end{matrix} ⎤ ⎥ ⎦, then find tr (A) - tr (B) .

A

B

T r (A) = 3, T r (B) = 5

T r (A + B) =

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