Question

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

Answer 1

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.

Answer 2

The true statement will be n + 4 – 7 = 18. Then the correct option is A.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The $\rm a \ _{ij}$ element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

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

Compare the a₁₃ of each of the matrices will be

n + 4 – 7 = 18

Then the correct option is A.

More about the matrix link is given below.

https://brainly.com/question/9967572

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