Mathematics
Grade9
Easy

Question

Add the matrices: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 3 4 end table close square brackets

  1. open square brackets table row 1 2 end table close square brackets
  2. open square brackets table row 4 5 end table close square brackets
  3. open square brackets table row 4 6 end table close square brackets
  4. open square brackets table row 2 2 end table close square brackets

hintHint:

The addition of matrices is an operation on matrices where corresponding elements of two or more matrices are added.
Matrices can be added only if they are of the same size, that is, they have the same dimension or order.
The addition of matrices is one of the basic operations that is performed on matrices. 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.

The correct answer is: open square brackets table row 4 6 end table close square brackets


    Matrices can be added only if they are of the same size, that is, they have the same dimension or order.
    The addition of matrices is one of the basic operations that is performed on matrices. 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 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 3 4 end table close square brackets
    A space equals space open square brackets table row cell a 11 end cell cell a 12 end cell end table close square brackets
B space equals open square brackets table row cell b 11 space end cell cell b 12 end cell end table close square brackets
A space plus space B space equals space open square brackets table row cell a 11 end cell cell a 12 end cell end table close square brackets space plus space open square brackets table row cell b 11 end cell cell b 12 end cell end table close square brackets space equals space open square brackets table row cell a 11 space plus space b 11 end cell cell a 12 space plus space b 12 end cell end table close square brackets

    A space plus space B space equals space open square brackets table row 1 2 end table close square brackets space plus space open square brackets table row 3 4 end table close square brackets
A space plus space B equals open square brackets table attributes columnalign left end attributes row cell 1 plus 3 end cell cell 2 plus 4 end cell end table close square brackets
A space plus space B equals open square brackets table row 4 6 end table close square brackets

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