If A- 1 -5 7- 0 7 9- 11 8 9 - then the value of tr A is

The correct option is A 17 A=[ 1 amp; 5 amp; 7; 0 amp; 7 amp; 9; 11 amp; 8 amp; 9 ] trace(A)= sum of diagonal elements ...

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Addition and Subtraction of a Matrix

If A=[ 1 -5...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 5 & 7 0 & 7 & 9 11 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ , then the value of tr $A$ is

17

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25

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Solution

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A = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 5 & 7 0 & 7 & 9 11 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦

\times

\times

=

| A |^{1 / 2}

3 \times 3

3 \times 3

∣ A ∣

A = [\begin{matrix} 2 & 1 4 & 1 \end{matrix}], B = [\begin{matrix} 3 & 4 2 & 3 \end{matrix}] and C = [\begin{matrix} 3 & - 4 - 2 & 3 \end{matrix}],

t r (A) + t r (\frac{A B C}{2}) + t r (\frac{A (B C)^{2}}{4}) + t r (\frac{A (B C)^{3}}{8}) + . . . \infty

T_{r}

r^{t h}

R = 1, 2, 3

3 T_{r + 1} = T_{r}

T_{7} = \frac{1}{243}

\infty \sum r = 1 (T_{r} \cdot T_{r + 1})

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