If A - - 2 4 8- 6 9 1- 8 7 5 - and B - - 1 2 3- 4 5 6- 7 8 9 - then the third element of the first row of A - B - -

A = [ 2 amp; 4 amp; 8; 6 amp; 9 amp; 1; 8 amp; 7 amp; 5 ] and B = [ 1 amp; 2 amp; 3; 4 amp; 5 amp; 6; 7 amp; 8 amp; 9 ] For A – B ...

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Byju's Answer

Standard IX

Mathematics

Addition and Subtraction of a Matrix

If A = [ 2 4 ...

Question

If A = $⎡ ⎢ ⎣ \begin{matrix} 2 & 4 & 8 6 & 9 & 1 8 & 7 & 5 \end{matrix} ⎤ ⎥ ⎦$ and B = $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ then the third element of the first row of A - B = -------

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Solution

A = $⎡ ⎢ ⎣ \begin{matrix} 2 & 4 & 8 6 & 9 & 1 8 & 7 & 5 \end{matrix} ⎤ ⎥ ⎦$ and B = $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$

For A – B, since the orders of A & B are same so it can be obtained by subtracting the corresponding elements of A & B.

$⎡ ⎢ ⎣ \begin{matrix} 2 & 4 & 8 6 & 9 & 1 8 & 7 & 5 \end{matrix} ⎤ ⎥ ⎦$ - $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ = $⎡ ⎢ ⎣ \begin{matrix} (2 - 1) & (4 - 2) & (8 - 3) (6 - 4) & (9 - 5) & (1 - 6) (8 - 7) & (7 - 8) & (5 - 9) \end{matrix} ⎤ ⎥ ⎦$

= $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 5 2 & 4 & - 5 1 & - 1 & - 4 \end{matrix} ⎤ ⎥ ⎦$

So the third element of the first row of this matrix will be 5, which is the correct answer.

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If A = ⎡⎢⎣248691875⎤⎥⎦ and B = ⎡⎢⎣123456789⎤⎥⎦ then the third element of the first row of A - B = ------- ___

If A = $⎡ ⎢ ⎣ \begin{matrix} 2 & 4 & 8 6 & 9 & 1 8 & 7 & 5 \end{matrix} ⎤ ⎥ ⎦$ and B = $⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$ then the third element of the first row of A - B = -------

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