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If matrix A= \begin{bmatrix} 1\\ 3\\ 4 \end{bmatrix} \; \; and \; \; B = \begin{bmatrix} -1\\ 0\\ 5 \end{bmatrix}   ; then  find C such that A-C = 6 

  • Option 1)

    \begin{bmatrix} -2\\ -3\\ 1 \end{bmatrix}

  • Option 2)

    \begin{bmatrix} -2\\ -3\\ -1 \end{bmatrix}

  • Option 3)

    \begin{bmatrix} 2\\ 3\\ -1 \end{bmatrix}

  • Option 4)

    \begin{bmatrix} 0\\ 3\\ 9 \end{bmatrix}

 

Answers (1)

best_answer

As we have learned

Column Matrix -

Single column matrix order is m \times 1 

- wherein

eg.      \begin{bmatrix} 7\\ -2\\ 1 \end{bmatrix}

 

 

Let C = \begin{bmatrix} a\\ b\\ c \end{bmatrix}

Thus 

\begin{bmatrix} 1\\ 3\\ 4 \end{bmatrix}-\begin{bmatrix} a\\ b\\ c \end{bmatrix}= \begin{bmatrix} -1\\ 0\\ 5 \end{bmatrix}

 

1-a= -1 ; 3-b = 0;  4-c= 5 

a=2 ; b= 3 ; c= -1 

 

 

 

 

 


Option 1)

\begin{bmatrix} -2\\ -3\\ 1 \end{bmatrix}

Option 2)

\begin{bmatrix} -2\\ -3\\ -1 \end{bmatrix}

Option 3)

\begin{bmatrix} 2\\ 3\\ -1 \end{bmatrix}

Option 4)

\begin{bmatrix} 0\\ 3\\ 9 \end{bmatrix}

Posted by

Himanshu

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