Question

How do you simplify `[(1.35,5.80),(1.24,14.32), (6.10, 35.26)]+[(0.45,3.28), (1.94,16.72), (4.31,21.30)]`?

Answer 1

`[(1.35,5.80),(1.24,14.32), (6.10, 35.26)]+[(0.45,3.28), (1.94,16.72), (4.31,21.30)]=[(1.80,9.08), (3.18,31.04), (10.41,56.56)]`

Explanation:

While adding two matrices,

the two matrices should be of the came order i.e. number of rows and columns in the matrices should be same.

Here matrices are of the same order as both have same number of rows and columns.

Then we have to just add the respective elements together i.e. number `x_(1(p,q)` in `p^(th)` row and `q^(th)` column of the first matrix should be added to `x_(2(p,q)` in `p^(th)` row and `q^(th)` column of the second matrix to get sum of the matrices.

Hence the sum is

`[(1.35,5.80),(1.24,14.32), (6.10, 35.26)]+[(0.45,3.28), (1.94,16.72), (4.31,21.30)]`

= `[(1.35+0.45,5.80+3.28), (1.24+1.94,14.32+16.72), (6.10+4.31,35.26+21.30)]`

= `[(1.80,9.08), (3.18,31.04), (10.41,56.56)]`