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PSYCHO15rus [73]
4 years ago
5

Prove that if b is a square matrix then b+b^t is symmetric

Mathematics
1 answer:
WARRIOR [948]4 years ago
6 0
A matrix \mathbf X is symmetric if \mathbf X=\mathbf X^\top. We have

(\mathbf B+\mathbf B^\top)^\top=\mathbf B^\top+(\mathbf B^\top)^\top=\mathbf B^\top+\mathbf B=\mathbf B+\mathbf B^\top

and so \mathbf B+\mathbf B^\top is indeed symmetric.
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Someone please help me with this question
Sauron [17]

Answer:

3

Step-by-step explanation:

Again, anything to the 0th power is equal to 1.

The 0th power is attached to the b, so this means that b = 1. Multiply 9 and (1) together to get 9.

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You divide a number and get a remainder of 4. what 1 - digit number can the divisor of the problem?
ahrayia [7]

Answer:

<em>Any of the numbers 5,6,7,8,9 could be the divisor of the problem.</em>

Step-by-step explanation:

<u>Division</u>

If I divide a number and get a remainder of 4, then the divisor must be greater than 4. A divisor of 4, for example, would lead to a remainder of (maximum) 3.

Thus, our divisor can only be one among the numbers: 5,6,7,8,9. If the dividend is exactly 4, then the divisions

4/5, 4/6, 4/7, 4/8, and 4/9

they all produce the same remainder of 4.

Thus, any of the numbers 5,6,7,8,9 could be the divisor of the problem

6 0
4 years ago
after hitting the black friday sales, sarah bought her dress on sale for $35. She saved 45%, what was the original cost.
8090 [49]

The original cost of the dress is $63.64

Step-by-step explanation:

After hitting the black Friday sales

  • Sarah bought her dress on sale for $35
  • She saved 45%

We need to find the original cost of the dress

The money that Sarah saved is the value of the discount on the dress

Assume that the price of the dress before the black Friday is 100%

∵ The price of the dress before the black Friday is 100%

∵ She saved 45% when she bought it the black Friday

∴ The price of the dress is decreased by 45%

∵ She bought the dress for $35 ⇒ (after discount)

Let use use the percentage method

→ Before discount  :  Discount  :  After discount

→        100%              :       45%     :      55% (100 - 45)

→         x                    :                    :      35

By using cross multiplication

∵ x × 55% = 35 × 100%

- Divide both sides by 55%

∴ x = 63.64

The original cost of the dress is $63.64

Learn more:

You can learn more about percentage in brainly.com/question/12501490

#LearnwithBrainly

3 0
3 years ago
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