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Degger [83]
3 years ago
13

NEED HELP ASAP WILL GIVE BRAINLIEST

Mathematics
2 answers:
ollegr [7]3 years ago
6 0

Answer:

D. (272, 127)

Step-by-step explanation:

It's actually not A, I just took the test. The right answer is D.

Anuta_ua [19.1K]3 years ago
3 0

Answer:

<em>it's either A or B hope I helped a little</em>

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Show that the sets of upper-triangular and lower-triangular matrices are subspaces of F n,n . Call them U and L respectively. Wh
soldi70 [24.7K]

Answer:

dim L = dim U = \frac{n(n+1)}{2}

Step-by-step explanation:

We can do it only for the lower-triangular matrices, the case of the upper-triangular matrices is similar. We might caracterice nxn the lower-triangular matrices, as the nxn matrices A=(a_{ij}) such that the entry a_{ij}=0 if i<j.

Now let A=(a_{ij}) and B=(b_{ij}) be two lower triangular matrices, now if

C=A+\lambda  B for some \lambda \in \mathbb{F}

then the entry c_{ij} of C is equal to

c_{ij}=a_{ij}+\lambda b_{ij}

Now, if i<j, it must hold that a_{ij}=0 \quad \text{and} \quad b_{ij}=0. Therefore, if this is the case we must have that c_{ij}=0 and so we get that C is also a lower triangular matrix. This showa that L is closed under sum and scalar multiplcation, hence it is a linear subspace.

To find the dimension, note that all the entries of a lower-triangular matrix over the diagonal must be equal to zero. However, each entry of the matrix under the diagonal and in the diagonal might be any element of \mathbb{F}, any entry that can be choosen add up to the dimension of L, we n such elemnts for the first column, (n-1) for the second column, (n-2) for the third column etc.... Therefore,

\dimL=n+(n-1)+(n-2)+...+2+1=\dfrac{n(n+1)}{2}

5 0
3 years ago
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iragen [17]

Answer:

because M is the centroid of the triangle

=> PM = 2AM

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7 0
3 years ago
Convert 8.25% to a decimal
Kisachek [45]

Answer: 0.0825

Step-by-step explanation:

8.25% to decimal is simply divide 8.25 by 100

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3 0
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Answer:1 and 4

Step-by-step explanation:

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3 years ago
Joey Chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. He needs to eat more than
anygoal [31]

Answer:

9d+11\frac{1}{4}>72

Step-by-step explanation:

We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.

We have been given that after 1 minute, Joey has eaten 11\frac{1}{4} hot dogs.

Hot dogs eaten in next 9 minutes would be 9 times d that is 9d.

Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes: 9d+11\frac{1}{4}.

Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

9d+11\frac{1}{4}>72

Therefore, our required inequality would be 9d+11\frac{1}{4}>72.

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3 years ago
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