Question

If s&T are non singular &ST=I then T –1 s-1=?
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Answer 1

ANSWER

Since, A is non-singular

So, A−1 exists.

Given, (A−2I)(A−4I)=0

⇒A2−6A+8I=0

Multiplying by A−1, we get

⇒A−6I+8A−1=0

⇒A+8A−1=6I

⇒61A+34A−1=I