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Mathematics

Grade9

Easy

Question

Add the matrices: $open square brackets table row 2 4 6 row 8 10 12 row 14 16 18 end table close square brackets comma open square brackets table row 1 3 5 row 7 9 11 row 13 15 17 end table close square brackets$

$[\begin{matrix} 3 & 7 & 11 \\ 15 & 19 & 23 \\ 27 & 31 & 35 \end{matrix}]$
$[\begin{matrix} 3 & 7 & 11 \\ 15 & 20 & 23 \\ 27 & 31 & 35 \end{matrix}]$
$[\begin{matrix} 3 & 7 & 11 \\ 15 & 19 & 23 \\ 27 & 31 & 36 \end{matrix}]$
$[\begin{matrix} 3 & 7 & 11 \\ 16 & 19 & 23 \\ 27 & 31 & 35 \end{matrix}]$

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: $open square brackets table row 3 7 11 row 15 19 23 row 27 31 35 end table close square brackets$

Two or more matrices of the same order can be added by adding the corresponding elements of the matrices.
$A space equals space open square brackets table row 2 4 6 row 8 10 12 row 14 16 18 end table close square brackets comma space B space equals space open square brackets table row 1 3 5 row 7 9 11 row 13 15 17 end table close square brackets$

$A space plus space B space equals open square brackets table row 2 4 6 row 8 10 12 row 14 16 18 end table close square brackets plus open square brackets table row 1 3 5 row 7 9 11 row 13 15 17 end table close square brackets equals open square brackets table row cell 2 plus 1 end cell cell 4 plus 3 end cell cell 6 plus 5 end cell row cell 8 plus 7 end cell cell 10 plus 9 end cell cell 12 plus 11 end cell row cell 14 plus 13 end cell cell 16 plus 15 end cell cell 18 plus 17 end cell end table close square brackets A space plus space B space equals open square brackets table row 3 7 11 row 15 19 23 row 27 31 35 end table close square brackets$

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