Question

Janelle wrote the matrix addition below. Which statement is true?

Answer 1

Option A is correct.

Step-by-step explanation:

We need to identify which statement is true in matrix addition.

In matrix addition we just add the corresponding elements.

In the options given only Option A is correct i.e, (n+4)-7  = 18

All other options have error in them.

In Option B there should be -12 instead of +12

In Option C there should be -11 instead of 11

In Option D we are not adding corresponding entries.

So, Option A is correct.

Keywords: Matrix addition

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Answer 2

Answer:

Option A.

Step-by-step explanation:

The given matrix addtion is

$\left[\begin{array}{ccc}3&-1&n\\6&m-1&-9\\17&s+1&7\end{array}\right]+(\left[\begin{array}{ccc}-5&0&4\\0&-12&2\\1&-18&8\end{array}\right]+\left[\begin{array}{ccc}1&-6&-7\\4&0&3\\14&-11&5\end{array}\right] )=\left[\begin{array}{ccc}-1&-7&18\\10&12&-4\\32&-28&20\end{array}\right]$

On simplify the parenthesis we get.

$\left[\begin{array}{ccc}3&-1&n\\6&m-1&-9\\17&s+1&7\end{array}\right]+\left[\begin{array}{ccc}-5+1&0-6&4-7\\0+4&-12+0&2+3\\1+14&-18-11&8+5\end{array}\right]+=\left[\begin{array}{ccc}-1&-7&18\\10&12&-4\\32&-28&20\end{array}\right]$

On adding both matrices on left side we get

$\left[\begin{array}{ccc}3-5+1&-1+0-6&n+4-7\\6+0+4&(m-1)-12+0&-9+2+3\\17+1+14&(s+1)-18-11&7+8+5\end{array}\right]+=\left[\begin{array}{ccc}-1&-7&18\\10&12&-4\\32&-28&20\end{array}\right]$

On comparing corresponding elements of both sides we get

$(n+4)-7=18$

$(m-1)-12+0=12$

$((s+1)-18)-11=-28$

Therefore, the correct option is A.