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VARVARA [1.3K]
3 years ago
15

Every orthogonal matrix is invertible. O True O False

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

True

Step-by-step explanation:

Every orthogonal matrix is invertible. This is a true statement.

Orthogonal matrices are square matrix whose rows and columns are orthogonal unit vectors.

In an orthogonal matrix columns are linearly independent and since the columns are linearly independent the matrix will be matrix will be invertible. This is according to invertible matrix theorem.

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If a sprinkler waters 1 over 15 of a lawn in 1 over 3 hour, how much time will it take to water the entire lawn?
Feliz [49]
Now, a whole, will be 15/15 or 1 whole.

now, the sprinkler does 1/15 of the lawn in 1/3 of an hour, how long will it be to do the whole 15/15?

\bf \begin{array}{ccll}
lawn&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{15}&\frac{1}{3}\\\\
\frac{15}{15}&h
\end{array}\implies \cfrac{\quad \frac{1}{15}\quad }{\frac{15}{15}}=\cfrac{\quad \frac{1}{3}\quad }{h}\implies \cfrac{1}{15}\cdot \cfrac{15}{15}=\cfrac{\quad \frac{1}{3}\quad }{\frac{h}{1}}
\\\\\\
\cfrac{1}{15}=\cfrac{1}{3}\cdot \cfrac{1}{h}\implies \cfrac{1}{15}=\cfrac{1}{3h}\implies 3h=15\implies h=\cfrac{15}{3}\implies h=5
6 0
3 years ago
Read 2 more answers
Help meeeeeeeeeeeee​
Zigmanuir [339]

Answer: the slope is 2

Explanation:

The graph goes up 2 and over 1. When finding slope the formula is rise/run

6 0
3 years ago
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Original price of $52 after a 20% discount
Neporo4naja [7]

Answer:

The new price is 41.60

Step-by-step explanation:

First find the discount

52 * 20%

52 * .2

10.4

Subtract this from 52

52 - 10.4

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5 0
2 years ago
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The table shows the distance Allison drove one day of her vacation. Is the relationship between the distance and the time propor
miv72 [106K]

Answer:

hope that it helps you any

Step-by-step explanation:

first hour she drove 60mi

second hour she drove 50mi

third hour she drove 70mi

fourth hour she drove 20mi

fifth hour she drove 75mi

all together she drove 275miles

take 275 divide it by 5 you get an average of 55mph

7 0
3 years ago
Plz help me in here and tysm for ya help :3
lapo4ka [179]
It would cost somehow less than $1000 and you would know that because 347 students is a large number, but since it hold 44 students in each bus, it’ll take not to long to get to 347. So since each bus is $95, it would at least reach to 700+

(All is estimated)
8 0
3 years ago
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