Question

* Ifa-2,b=3 ande=-4, then find the value of each of the following:
(i) a² + b + c2-ab-be-ca (ii) a3 + b3 + c3 -3abc
3. find the value of:
(iii) a3 + b3 - 3ab​

Answer 1

Step-by-step explanation:

Given A

3

=B

3

and A

2

B=B

2

A, ...(1)

Consider (A

2

+B

2

)(A−B)=A

3

−A

2

B+B

2

A−B

3

⇒(A

2

+B

2

)(A−B)=O ....(2)

Since, A and B are different matrices

So, A



=B

A−B



=O

So, from equation (2), it follows

A

2

+B

2

=O

⇒det(A

2

+B

2

)=0