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GuDViN [60]
3 years ago
11

Which of the following is a diagonal matrix?

Mathematics
2 answers:
IRINA_888 [86]3 years ago
5 0

A matrix is diagonal if

i\neq j \implies A_{i,j}=0

In other words, you want non-zero elements only when the indices of the row and the column are the same: the first element of the first row must be non zero, the second element of the second row must be non-zero, and so on. All other elements must be zero.

xxTIMURxx [149]3 years ago
5 0

Answer:

Option 3

Step-by-step explanation:

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PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).
shutvik [7]
◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 )  can be written as -

125.e^i( 288) 
125.e^i( 288 +360 ) 
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
5 e^( i 96 ) 
5 e^( i 216 )  
5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 ) 
5(c os 216 + i sin 216 ) 
5 ( cos 336 + i sin 336 ) Ans.
6 0
3 years ago
100 POINTS
olga nikolaevna [1]

Answer:

5.2

Step-by-step explanation:

To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1,  and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.

6 0
3 years ago
Read 2 more answers
2a ³+10=26<br> Show the work on how you got it
Usimov [2.4K]

Answer:

a=2

Step-by-step explanation:

subtract 10 from both sides

2a^3=26-10

simplify

2a^3=16

Divivde both side by 2

a^2=16/2

simplify

a^3=8

4 0
3 years ago
What’s the answer??????
Fofino [41]

Answer:

2x=34+56

x=90÷2

therefore x=45

6 0
3 years ago
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You take a 200 milligram dosage of aspirin. During each subsequent hour, the amount of medication in your bloodstream decreases
shepuryov [24]

Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

Step-by-step explanation:

If the amount is decreasing by r%, then the final amount is given by :-

A=P(1-r)^t

, where P = initial value , t= time

Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours

The level of aspirin (mg) will be in your bloodstream in 4 hours = 200(1-0.35)^4

=200(0.65)^4\\\\=200\times 0.17850625\\\\=35.70125\approx35.70 \ mg

Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.

5 0
2 years ago
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