Show the concept of addition of matrices Along with an example.

Question

firmablogF · Accepted Answer

Step 1
Consider two matrix A and B of same order say 3*3.

A = [\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}] and, B = [\begin{matrix} p & q & r \\ s & t & u \\ v & w & x \end{matrix}]

Step 2
To show: The concept of matrix addition with a suitable example.
Step 3
Since, for the addition of matrices we need atleast two matrices to be added and atmost as maximum as we want. But there is a condition for the addition of matrices, that is two or more than two matrices can be added if and only if, they are all (matrices) of same order. There order should be same for the addition of matrix.
And, second condition for the addition of matrices is the operation of additing corresponding entity of each matrix together.
It can be shown with the help of matrices A and B as:

A + B = [\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}] + [\begin{matrix} p & q & r \\ s & t & u \\ v & w & x \end{matrix}]

= [\begin{matrix} a + p & b + q & c + r \\ d + s & e + t & f + u \\ g + v & h + w & i + x \end{matrix}]

Step 4
The same fact can be applied to any number of matrices to add together, provided thay should have the same dimension (order).
We can not add any two matrices which have different dimension (order).

Show the concept of addition of matrices Along with an example.

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