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Mathematics

Grade9

Easy

Question

Add the matrices: $open square brackets table row 1 4 cell negative 2 end cell row cell negative 5 end cell 3 0 end table close square brackets comma space open square brackets table row 4 2 7 row 6 cell negative 5 end cell 9 end table close square brackets$

$[\begin{matrix} 5 & 6 & 5 \\ 1 & - 2 & 9 \end{matrix}]$
$[\begin{matrix} 5 & 6 & 5 \\ 1 & 2 & 9 \end{matrix}]$
$[\begin{matrix} 5 & 6 & 5 \\ 1 & - 2 & - 9 \end{matrix}]$
$[\begin{matrix} 5 & 6 & 5 \\ - 1 & - 2 & 9 \end{matrix}]$

hint Hint:

Two or more matrices of the same order can be added by adding the corresponding elements of the matrices.
If A = [aij] and B = [bij] are two matrices with the same dimension, that is, they have the same number of rows and columns, then the addition of matrices A and B is: A+B = [aij] + [bij] = [aij + bij], where ij denotes the position of each element in i^th row and j^th column.

The correct answer is: $open square brackets table row 5 6 5 row 1 cell negative 2 end cell 9 end table close square brackets$

Two or more matrices of the same order can be added by adding the corresponding elements of the matrices.
$A space equals open square brackets table row 1 4 cell negative 2 end cell row cell negative 5 end cell 3 0 end table close square brackets comma space B equals space open square brackets table row 4 2 7 row 6 cell negative 5 end cell 9 end table close square brackets$
$A space plus space B space equals open square brackets table row 1 4 cell negative 2 end cell row cell negative 5 end cell 3 0 end table close square brackets plus open square brackets table row 4 2 7 row 6 cell negative 5 end cell 9 end table close square brackets equals open square brackets table row cell 1 plus 4 end cell cell 4 plus 2 end cell cell negative 2 plus 7 end cell row cell negative 5 plus 6 end cell cell 3 plus left parenthesis negative 5 right parenthesis end cell cell 0 plus 9 end cell end table close square brackets A space plus space B space equals open square brackets table row 5 6 5 row 1 cell negative 2 end cell 9 end table close square brackets$

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