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vaieri [72.5K]
3 years ago
8

Which property is shown in the matrix addition below? [-6 15 -2 ] + [6 -15 2 ] = [0 0 0

Mathematics
1 answer:
aksik [14]3 years ago
5 0

Answer:

The property shown in matrix addition given is "Additive Inverse Property"

Step-by-step explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]

Hence,

The property shown in matrix addition given is "Additive Inverse Property"

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6) What is 13% of 33.39?
icang [17]

Answer:

1. We assume, that the number 33.39 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 33.39 is 100%, so we can write it down as 33.39=100%.

4. We know, that x is 13% of the output value, so we can write it down as x=13%.

5. Now we have two simple equations:

1) 33.39=100%

2) x=13%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

33.39/x=100%/13%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13% of 33.39

33.39/x=100/13

(33.39/x)*x=(100/13)*x       - we multiply both sides of the equation by x

33.39=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x

33.39/7.6923076923077=x

4.3407=x

x=4.3407

now we have:

13% of 33.39=4.3407

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:

(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)

One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:

1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)

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Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):

3 × 325 = 975

At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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