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2 years ago

5

At 1,932 feet crater lake. Oregon, is the deepest lake in the United States the world's deepest lake. Lake Baykal in Russia, is

3,383 feet deeper. How deep is lake Baykal?

2 answers:

8090 [49]2 years ago

4 0

-5315 is how deep the lake is

vitfil [10]2 years ago

3 0

Lake Baykal in Russia is 5,315 feet deep

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Answer:

It is proved that A is idempotent if and only if $A^T$ is idempotent.

Step-by-step explanation:

Case-1 : First assume that A is idempotent that is, $A^2=A$ . We have to show by using this $(A^T)^2=A^T$ . So,

$(A^T)^2=A^T\times A^T=(A\times A)^T=(A^2)^T=A^T$

Thus $A^T$ is idempotent.

Case-2 :

Conversly, assuming $A^T$ is idempotent, thet is, $(A^T)^2=A^T$ . We have to show $A^2=A$ . So,

$A^2=A\times A=(A^T)^T\times(A^T)^T=(A^T\times A^T)^T$

$=((A^T)^2)^T=(A^T)^T=A$

Thus A is idempotent. Hence proved.

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2 years ago

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andreyandreev [35.5K]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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