 Hello friends, welcome to the session. I am Alka. We are going to discuss matrices We have to show that the product of the matrices on the left-hand side is not equal to the product of the matrices on the Right-hand side our matrices on the left-hand side are 5 minus 1 6 7 and 2 1 3 4 Which is not equal to 2 1 3 4 and the second matrix 5 minus 1 6 7 So now let's start with the solution Let a be the matrix 5 minus 1 6 7 and be the matrix 2 1 3 4 we have to show that a b Is not equal to B a So first of all we'll take the LHS LHS is equal to 5 into 2 plus minus 1 into 3 and 5 into 1 plus minus 1 into 4 6 into 2 plus 7 into 3 6 into 1 plus 7 into 4 This is equal to 10 minus 3 5 minus 4 12 plus 21 and 6 plus 28 This is equal to 7 1 33 and 34 Now we'll solve our RHS RHS is matrix 2 1 3 4 and second matrix 5 minus 1 6 7 on multiplying these two we get 2 into 5 plus 1 into 6 2 into minus 1 plus 1 into 7 3 into 5 plus 4 into 6 3 into minus 1 plus 4 into 7 This is equal to 10 plus 6 minus 2 plus 7 15 plus 24 minus 3 plus 28 This is equal to 16 5 39 and 25 Thus we see that our LHS is not equal to our RHS so LHS is not equal to RHS hence proved Hence matrix 5 minus 1 6 7 multiplied by matrix 2 1 3 4 is not equal to Matrix 2 1 3 4 and the product of 5 minus 1 6 7 This also shows that the multiplication of matrices is not commutative. Hope you and understood the solution and enjoyed the session. Goodbye and take care