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What is the value of C in the matrix equation below?

|-18 3 51-c-[-22 1 12
o -40
217]
01-40 27]
10142-7)
0 14 2 17]

What is the value of C in the matrix equation below? |-18 3 51-c-[-22 1 12 o -40 217] 01-40 27] 10142-7) 0 14 2 17]-example-1

2 Answers

3 votes

Answer: C

Step-by-step explanation: [ 4 2 -7 ]

User Kenny Thompson
by
8.0k points
4 votes

Given:

The matrix equation is:


\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}

To find:

The value of matrix C.

Solution:

Let
A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}. Then the given equation can be rewritten as


A-C=B


-C=B-A


C=-(B-A)


C=A-B

On substituting the values of the matrices, we get


C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}


C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}


C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}


C=\begin{bmatrix}-4&2&-7\end{bmatrix}

Therefore, the correct option is C.

User Keyur Bhanderi
by
8.3k points

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