under what conditions will a diagonal matrix be orthogonal?

Answers

Answer 1

A diagonal matrix can only be orthogonal if all of its diagonal entries are either 1 or -1.

For a matrix to be orthogonal, it must satisfy the condition that its transpose is equal to its inverse. For a diagonal matrix, the transpose is simply the matrix itself, since all off-diagonal entries are zero. Therefore, for a diagonal matrix to be orthogonal, its inverse must also be equal to itself. This means that the diagonal entries must be either 1 or -1, since those are the only values that are their own inverses. Any other diagonal entry would result in a different value when its inverse is taken, and thus the matrix would not be orthogonal. It's worth noting that not all diagonal matrices are orthogonal. For example, a diagonal matrix with all positive diagonal entries would not be orthogonal, since its inverse would have different diagonal entries. The only way for a diagonal matrix to be orthogonal is if all of its diagonal entries are either 1 or -1.

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Step-by-step explanation:

1 pts
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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

73 x 4 + 13 is 305

Answer:

305

explaination:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

los pantalones costaban 50 euros, y ha pagado 40 euros

Fill in the blanks
A
integers.
is an algebraic expression that contains a variable to the power of one.
is an example.
is a rational number that is multiplied by a variable. A
is a number that can be written as the ratio, or fraction of two
in the expression is an example of a coefficient
are terms whose variables and their exponents are the same. One example is
and -7y.
2y
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4
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Answer:

Step-by-step explanation:

okay here’s the answers in order

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rational-number

Like-terms

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Answers

Answer:

Step-by-step explanation:

(yellow shirt, green shorts),

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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