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ira [324]
2 years ago
15

Suppose matrix B is the inverse of matrix A. Use your knowledge of inverses and matrix multiplication to answer the following: A

B
Mathematics
1 answer:
neonofarm [45]2 years ago
5 0

AB will be an Identity matrix.

<h3>What is an identity matrix?</h3>
  • A square matrix with 1s on the main diagonal and 0s everywhere else is an identity matrix.
  • The identity matrices 22 and 33, for example, are presented below.
  • These are known as identity matrices because they produce the identity matrix when multiplied by a compatible matrix.
  • If the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
  • When the matrix is multiplied by the original matrix, the result is the identity matrix.

As it is given in the description itself, if the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.

Therefore, AB will be an Identity matrix.

Know more about the identity matrix here:

brainly.com/question/2361951

#SPJ4

You might be interested in
The number 5/9 is an example of a
Bond [772]

Answer:

5/9 is an example of rational number.

Step-by-step explanation:

as the definition of rational number is the number in the form of p/q but the value of denominator q should not be equal to 0. Every integer is a rational number.

8 0
3 years ago
Betsy started a business 2 years ago. She had 8 customers in the first year. She added 18
Tatiana [17]

Answer:

Betsy isn't correct. Betsy's calculations are wrong as she made her calculations by multiplying the base number of customers by 3 and then summing it all up for the 4 years under review instead of a continuous multiplication by 3.

26 × 3 × 4 is different from 26 × 3⁴

- If Betsy meets her target for the next 4 years, she will have 2106 customers in 4 years time.

Step-by-step explanation:

- Betsy started her business 2 years ago.

- In the first year, Betsy has 8 customers.

- In the second year, Betsy added 18 customers,

- So, her customers are now 8+18 = 26

- Betsy's goal is that in each of the next 4 years, she will have three times as many customers as the year before.

If the base number of customers is truly 26 this year,

Next year, Betsy would have 26 × 3 = 78 customers.

In 2 years, she would have 78 × 3 = 234

Thus indicating that in t years from now, the number of her customers will be

N(t) = N₀ × 3ᵗ

where

N(t) = number of customers t time from now

N₀ = number of customers at the moment = 26

t = number of years from now.

N(t) = 26 × 3ᵗ

In 4 years from now, Betsy will have

N(t=4) = 26 × 3⁴ = 2,106

So, it is evident that Betsy's calculations are wrong as she made her calculations by multiplying the base number of customers by 3 and then summing it all up for the 4 years under review instead of a continuous multiplication by 3.

26 × 3 × 4 is different from 26 × 3⁴

- If Betsy meets her target for the next 4 years, she will have 2106 customers in 4 years time.

Hope this Helps!!!

5 0
3 years ago
I need help ill do anything
alexgriva [62]

Answer:

A n y t h i n g  y o u  s a y ?

The answer is J. 42

Could I be Brainliest pls...?

Even if I'm not Brainliest, have a lovely day! <3

5 0
3 years ago
Can somebody help me thank you
arsen [322]
Surface Area of the cylinder is: <span>384.85
Volume of the cylinder is: </span><span>538.78</span>
6 0
3 years ago
•Mr. Jones and Mr. Thomas
mamaluj [8]

The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.

<h3>Proportion</h3>

  • Mr Jones capital = $12600
  • Mr Thomas capital =$19200
  • Mr forson capital = $16200

Total capital = $12600 + $19200 + $16200

= $48,000

Mr Jones proportion = $12600 / $48,000

= 21/80

Mr Thomas proportion = $19200 / $48,000

= 32/80

Mr forson proportion = $16200 / $48000

= 27/80

Learn more about proportion:

brainly.com/question/1781657

$SPJ1

8 0
2 years ago
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