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Mathematics

Grade9

Easy

Question

Add the matrices: $open square brackets table attributes columnalign left end attributes row a b row c d row e f end table close square brackets comma open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 row 5 6 end table close square brackets$

$[\begin{array}{l} a + 1 & b + 2 \\ c + 2 & d + 4 \\ e + 5 & f + 6 \end{array}]$
$[\begin{array}{l} a + 1 & b + 2 \\ c + 3 & d + 4 \\ e + 5 & f + 5 \end{array}]$
$[\begin{array}{l} a + 2 & b + 2 \\ c + 3 & d + 4 \\ e + 5 & f + 6 \end{array}]$
$[\begin{array}{l} a + 1 & b + 2 \\ c + 3 & d + 4 \\ e + 5 & f + 6 \end{array}]$

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: $open square brackets table attributes columnalign left end attributes row cell a plus 1 end cell cell b plus 2 end cell row cell c plus 3 end cell cell d plus 4 end cell row cell e plus 5 end cell cell f plus 6 end cell end table close square brackets$

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 ith row and jth column.
$A space equals space open square brackets table attributes columnalign left end attributes row a b row c d row e f end table close square brackets comma B space equals open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 row 5 6 end table close square brackets$
$A space plus space B space equals open square brackets table attributes columnalign left end attributes row a b row c d row e f end table close square brackets plus open square brackets table attributes columnalign left end attributes row 1 2 row 3 4 row 5 6 end table close square brackets equals open square brackets table attributes columnalign left end attributes row cell a plus 1 end cell cell b plus 2 end cell row cell c plus 3 end cell cell d plus 4 end cell row cell e plus 5 end cell cell f plus 6 end cell end table close square brackets$

Related Questions to study

Is the product defined of the matrices AB and BA?
$A equals open square brackets table attributes columnalign left end attributes row 1 2 end table close square brackets comma space B equals open square brackets table attributes columnalign left end attributes row 4 row 5 row 6 end table close square brackets$

Is the product defined of the matrices AB and BA?
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