* 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
Answers
Answered by
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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
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