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2 years ago

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.

Mathematics

2 answers:

ohaa [14]2 years ago

6 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for preventing assets.

As we know that due to lightning, fire can be caught into the house and house can be burnt along with so many assets.

Hence, it is a plan for protecting assets .

Therefore, Option 'D' is correct.

denpristay [2]2 years ago

3 0

I think the answer would be d because you are trying to protect your home from getting struck by lightning.

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Answer:

Recall that a relation is an equivalence relation if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.

Reflexive: We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that $A=J^{-1}AJ$ . Thus, A↔A.

Symmetric: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that $A=P^{-1}BP$ . In this equality we can perform a right multiplication by $P^{-1}$ and obtain $AP^{-1} =P^{-1}B$ . Then, in the obtained equality we perform a left multiplication by P and get $PAP^{-1} =B$ . If we write $Q=P^{-1}$ and $Q^{-1} = P$ we have $B = Q^{-1}AQ$ . Thus, B↔A.

Transitive: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have $A=P^{-1}BP$ and from B↔C we have $B=Q^{-1}CQ$ . Now, if we substitute the last equality into the first one we get

$A=P^{-1}Q^{-1}CQP = (P^{-1}Q^{-1})C(QP)$ .

Recall that if P and Q are invertible, then QP is invertible and $(QP)^{-1}=P^{-1}Q^{-1}$ . So, if we denote R=QP we obtained that

$A=R^{-1}CR$ . Hence, A↔C.

Therefore, the relation is an equivalence relation.

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Step-by-step explanation:

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