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s344n2d4d5 [400]
2 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]2 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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9+3v is greater than or equal to 6
kondaur [170]

Answer:

If you take it in terms of integers,

9+3v may or may not be greater or equal to 6. It depends on the value of the variable you put in.

For eg:- if you substitute the value for v as 2 then 9+3x2=15 which is greater than 6 but if you put in -1 for v then you will get 9+3x(-1)=6


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3 years ago
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
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Answer:

From his starting point of 85 3/4, he descended 17 9/20 meters

Step-by-step explanation:

We want to know how much farther he went down from his starting point.

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tart off by making the denominators of both the numbers the same.

103 1/5 - 85 3/4

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Make 349/20 into a mixed fraction

17 9/20

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Step-by-step explanation:

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3 years ago
This is rlly hard i need help both pls
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Sale Price: On opening day, a new music store offers a 16% discount on all electric guitars. If the regular price on a guitar is
svetoff [14.1K]
This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
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