Matrix question. write the detailed formula and explanation/definition of how you did this, .
a=131 232 b= \bigl(\begin{smallmatrix} 211 \\ 323 \\ 211 \end{smallmatrix}\bigr)
a) what is a+b?
b) what is a x b (a times b) ? what is the multiplication formula for 3*3 matrix? how about the multiplication formula for 2*2 matrix and 4*4 matrix?
c) are a and b invertible? why?

a.A+B can not find out

b.=

=

=

In similar way multiply two matrix of order

c.No,because A is not a square matrix and determinant of B is zero.

Step-by-step explanation:

We are given that two matrix

A=

B=

In matrix A , two rows and 3 columns therefore, the order of matrix

In matrix B, 3 rows and 3 columns therefore, the order of matrix B is

a.A+B can no find because when add two matrix then the order of two matrix should be same .

b.

When we multiply on matrix to other matrix then number of columns of first matrix equals to number of rows of second matrix.

Therefore, number of columns of matrix A is equals to number of rows of matrix B.So, we can multiply

=\times

=

Formula for multiply of matrix of order

Let A and B are square matrix of order

Let A= and B=

=

In similar way we multiply of matrix of order and  matrix multiply of order

Let A  and B are matrix of order

Let

=

In similar way we multiply two matrix of order

C.Matrix A is not a square matrix .Therefore, it is not a invertible matrix.

Therefore, the determinant of B is equal to zero therefore, inverse of matrix B does not exist.

Hence, Both matrix A and B are no invertible.

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step-by-step explanation: