Is the set \mathbb{z} a group under the operation a*b = a - b + ab ? justify your answer.

Step-by-step explanation:

Given that *is the binary operation in the sets of integers.

closure: a-b+ab is again an integer belongs to Z.  Hence closure is true.

Associativity:

The two are not equal.  Hence this cannot be a group as associtiavity does not hold good.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

your answer is -9

step-by-step explanation: