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gregori [183]
3 years ago
11

Suppose A is a matrix and k is a positive integer. What does the notation Ak mean?

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

Scalar product

Step-by-step explanation:

The scalar product of a matrix refers to the product of a matrix and a number. The scalar is used to multiply each element in the matrix to get the final vector. In the question the scalar is k which is a constant and the matrix is A.

in the example below 2 is the scalar

2*\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]

the final matrix will be

\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right]

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Can someone help me with this
just olya [345]

Step-by-step explanation:

these are composite functions : a function of a function of a value.

this can have many more "staging" levels.

in essence, we calculate the functional result of the innermost function (with the given value) first, use that functional result as input value for the next function to the left. use that functional result as input value for the next function to the left. ...

f(g(x)) means therefore we start with g(x).

g(f(x)) means we start with f(x).

that is all. it is really simple. and actuality fun (like a maze - remember e.g. computer games, where you walked through one door and excited through a totally different door ?).

f(g(0)) =

so, we need g(0) = 4 - 0² = 4

and now we calculate

f(4) = 7×4 + 6 = 28 + 6 = 34

therefore,

f(g(0) = 34

g(f(0)) =

so, we need f(0) = 7×0 + 6 = 6

and now we calculate

g(6) = 4 - 6² = 4 - 36 = -32

therefore,

g(f(0)) = -32

7 0
2 years ago
Factor 26r3s + 52r5 – 39r2s4.
algol [13]

Answer:

13r²(2rs + 4r³ - 3s⁴)

Step-by-step explanation:

In equation 26r³s + 52r⁵ - 39r²s⁴;

The GCF of 26, 52, and 39 = 13

The GCF of r³, r⁵ and r² = r²

The GCF of s, (no "s"), and s⁴ = no "s" (Since one of the number doesn't have "s")

Now we can factor out 13r² from all three expressions;

26r³s + 52r⁵ - 39r²s⁴

=> <em>13r²(2rs) + 13r²(4r³) - 13r²(3s⁴)</em>

To factor it all together;

<u>13r²(2rs + 4r³ - 3s⁴)</u>

Hope this helps!

7 0
3 years ago
Joyce is making sushi rolls. She needs cup of
vlada-n [284]

Answer:

She can make 3 sushi rolls.

Step-by-step explanation:

it's not that hard, but ok

So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.

8 0
3 years ago
Find the length of each trapezoid.
marishachu [46]

Answer:

EF = 19

Step-by-step explanation:

EF = (23 + 15)/2 = 19

8 0
3 years ago
Simplify 1-5/4(6t-3/4)+3(17-5/17)
Firlakuza [10]
-15t/2 + 14159/272

I'm not exactly sure what you are looking for, but this is what I got.
8 0
3 years ago
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