Given M - beginpmatrix 9878-8 1-685 - 411-3 - 2 -1lendpmatrix - Find a matrix N such that M - N is a null matrix-A- Vbeginpmatrix 9 - 7 -8 1-6 - 5 - 411-3 - 2 -1endpmatrix B- beginpmatrix -9 -7 - 8 168-5 8-4 13 -2 - 1 e n d p m a t r i x C- Vbeginpmatrix -9 -78-8 1-6 -5 -4 - 1-2 -1 e n d p m a t r i x D- Veginpmatrix 9 - 7 - 8 168584113 - 2 - 1lend pmatrix

The correct option is B [ 9 amp; 7 amp;8; 6 amp; 5 amp; 4; 3 amp; 2 amp;1 ] M=[ 9 amp; 7 amp; 8; 6 amp;5 amp;4; 3 a ...

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Byju's Answer

Standard X

Mathematics

Null Matrix

Given M = beg...

Question

Given $M = ⎛ ⎜ ⎝ \begin{matrix} 9 & 7 & - 8 - 6 & 5 & 4 - 3 & 2 & - 1 \end{matrix} ⎞ ⎟ ⎠$ , Find a matrix N such that M + N is a null matrix.

$⎛ ⎜ ⎝ \begin{matrix} 9 & 7 & - 8 - 6 & 5 & 4 - 3 & 2 & - 1 \end{matrix} ⎞ ⎟ ⎠$

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$⎛ ⎜ ⎝ \begin{matrix} - 9 & - 7 & 8 6 & - 5 & - 4 3 & - 2 & 1 \end{matrix} ⎞ ⎟ ⎠$

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$⎛ ⎜ ⎝ \begin{matrix} - 9 & - 7 & - 8 - 6 & - 5 & - 4 - 3 & - 2 & - 1 \end{matrix} ⎞ ⎟ ⎠$

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$⎛ ⎜ ⎝ \begin{matrix} 9 & 7 & 8 6 & 5 & 4 3 & 2 & 1 \end{matrix} ⎞ ⎟ ⎠$

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Solution

The correct option is B
$⎛ ⎜ ⎝ \begin{matrix} - 9 & - 7 & 8 6 & - 5 & - 4 3 & - 2 & 1 \end{matrix} ⎞ ⎟ ⎠$

$M = ⎛ ⎜ ⎝ \begin{matrix} 9 & 7 & - 8 - 6 & 5 & 4 - 3 & 2 & - 1 \end{matrix} ⎞ ⎟ ⎠$ ,
M + N = 0 or null matrix
Hence M = -N
Therefore matrix $N = ⎛ ⎜ ⎝ \begin{matrix} - 9 & - 7 & 8 6 & - 5 & - 4 3 & - 2 & 1 \end{matrix} ⎞ ⎟ ⎠$

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Given M=⎛⎜⎝97−8−654−32−1⎞⎟⎠, Find a matrix N such that M + N is a null matrix.

The correct option is B ⎛⎜⎝−9−786−5−43−21⎞⎟⎠ M=⎛⎜⎝97−8−654−32−1⎞⎟⎠, M + N = 0 or null matrix Hence M = -N Therefore matrix N=⎛⎜⎝−9−786−5−43−21⎞⎟⎠

Given $M = ⎛ ⎜ ⎝ \begin{matrix} 9 & 7 & - 8 - 6 & 5 & 4 - 3 & 2 & - 1 \end{matrix} ⎞ ⎟ ⎠$ , Find a matrix N such that M + N is a null matrix.