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Leona [35]
3 years ago
5

How to rank linear functions

Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

In linear algebra, the rank of a matrix

A

A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of

A

A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by

A

A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.

The rank is commonly denoted by

rank

⁡

(

A

)

{\displaystyle \operatorname {rank} (A)} or

rk

⁡

(

A

)

{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in

rank

⁡

A

{\displaystyle \operatorname {rank} A}.

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When x increases from a to a + 2, y increases by a difference of 8.
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How do i completely factor 9c^4-36c^2?
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3 years ago
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A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. T
Angelina_Jolie [31]

Answer:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

b + g + m  = 1020

b = 2g

m = b + 225

The number of balcony tickets = 318

The number of gallery tickets = 159

The number of main floor tickets = 543

Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m  = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

   therefore b = 2g      \Rightarrow  g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

   therefore m = b + 225

iv) using equation ii) and equation iii) in equation i) we can write

     b + g  + m = b + 0.5b + b + 225  = 1020      \Rightarrow 2.5b  = 795     \Rightarrow  b = 318

v) g  = 0.5 b  = 0.5 \times 318 = 159

vi) m = b + 225 = 318 + 225 = 543

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3 years ago
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A 18 foot ladder is leaning against a wall as shown
Inga [223]
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So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle <span>ϴ which is made from the ladder and the ground.
</span>The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.

Now, once you've sorted out which side is which, we have to find the h (opp), and according to  SOH CAH TOA, we will choose Sin<span>ϴ = opp/hyp.
</span>so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get  h = 18 x sin<span>ϴ.
</span>
To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ =  sin-1 (sin inverse) h/18

Hope this helps



6 0
3 years ago
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