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s344n2d4d5 [400]
3 years ago
15

Determine if the following set is a vector space with the indicated operations. The set. V of all 2 x 2 real matrices A with sta

ndard matrix addition in M22 but scalar multiplication defined by a * A :=aA", a ER.
Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer: so the addition is not a problem here, i understand that you write a*A = a.A so is a scalar product. if your matrix is A1, A2, A3, A4, and you multiply this with an scalar a defined in the real set.

then a*A = a.A1, a.A2, a.A3, a.A4

so this multiplication still gives you a 2x2 matrix, that is in your space.

so the defined here is a Vector space, because the addition of two of his objects results in other object in the set.

And also has a scalar multiplication that if you feed it with an object on the set, it returns another object on the set.

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Neporo4naja [7]

Answer:

a) -36

b) y = -36x +34

Step-by-step explanation:

a) The slope is found using the derivative of the function.

  f'(x) = dy/dx = 0 -9(2x) = -18x

Then at x=2, the slope is ...

  f'(2) = -18·2 = -36

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b) The point-slope form of the equation can be written as ...

  y = -36(x -2) -38

Simplifying to slope-intercept form, we get ...

  y = -36x +34

6 0
3 years ago
Evaluate the expression when c=9 and d=8. 4c+d<br><br><br><br><br>please help ​
guapka [62]

Answer:

44

Step-by-step explanation

4c + d

this is an expression and since they provided c and d it is easy to solve

c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.  

4(9) + (8)

4 times 9 is 36 so it leaves you with 36 + 8

36 + 8 = 44

I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.

7 0
3 years ago
Please help. Pythagorean theorem
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A car rental agency advertised renting a car for $ 23.95 per day and $ 0.32 per mile. If Trevor rents this car for 3 ​days, how
AVprozaik [17]
Y=mx +b plug that in , so the 23.95 would be the flat fee then you add 0.32 
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4 0
3 years ago
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Answer:

Ms kits sold 336 CDS

Step-by-step explanation:

I cant help with the last part sorry dont listen to my answer

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3 years ago
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