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Tema [17]
3 years ago
12

(b) Give an example of nonzero 2×2 matrices A, B, C such that AB=AC, but B C.

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

Example of matrices such hat AB = AC, B\neq C

Step-by-step explanation:

We have two give example of 2×2 matrices such that AB = AC BUT B ≠ C.

Example:

A =\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]\\\\B = \left[\begin{array}{ccc}1&1\\1&2\end{array}\right], C = \left[\begin{array}{ccc}1&1\\1&3\end{array}\right]

Solving:

AB = \left[\begin{array}{ccc}1+0&1+0\\0+0&0+0\end{array}\right] = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]

AC = \left[\begin{array}{ccc}1+0&1+0\\0+0&0+0\end{array}\right] = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]

Hence, AB = AC, B\neq C

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PLS help ASAP I’d appreciate it, i have no idea how to do this
Korvikt [17]

The correct answer is D.

The symbol you are looking at is sigma, which means sum of all. Because the number on the bottom is 1 and the top is 6, these are the start and end numbers for our n value. Therefore, it means to add together all of the values of your expression (n -3), for all of the values with n equaling between 1 and 6. So let's plug in all of the numbers for n they ask for and see what we have.

1

1 - 3 = -2

2

2 - 3 = -1

3

3 - 3 = 0

4

4 - 3 = 1

5

5 - 3 = 2

6

6 - 3 = 3

Now, when we add all of these numbers up, we look for the answer.

-2 + -1 + 0 + 1 + 2 + 3 = 3

This is the answer we see in D

3 0
3 years ago
The relative growth rate for a certain type of fungi is 70% per hour. A small culture has formed and in just 6 hours the count s
Nezavi [6.7K]
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6 0
4 years ago
Read 2 more answers
Determine if The square root of 9 is rational or irrational and give a reason for your answer.
Mademuasel [1]

Answer:

As square root of 9 can be written in the required form for being a rational number, so it is a rational number

Step-by-step explanation:

First of all we'll define rational numbers.

A number that can be written in the form p/q where p and q are integers and q≠0 is called a rational number.

Now we have to check if \sqrt{9} is rational or not, we will check if it can be written in the form p/q

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As square root of 9 can be written in the required form for being a rational number, so it is a rational number

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zavuch27 [327]

Answer:

58

Step-by-step explanation:

For every triangle, all angles add up to 180. So you have to subtract 64 from 180 which gives you 116. You then take that number and divide it by two because there are two base angles, which gives you 58. The answer is 58.

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3 years ago
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NikAS [45]
To find this is easy, since you can find either a nine or an eight, add both number of cards to get 8 cards. then you would divide 8 by 52 to get around a 15.4% chance to get either a 9 or 8. hope this helps
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3 years ago
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