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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

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(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Fi
g100num [7]

Answer:

The required vector parametric equation is given as:

r(t) = <3cost, 3sint>

For 0 ≤ t ≤ 2π

Step-by-step explanation:

Given that

f(x, y) = <2y, -sin(y)>

Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form

(x - 0)² + (y - 0)² = r²

Which is

x² + y² = 9

Because

cos²β + sin²β = 1

and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write

x = 3cosβ

y = 3sinβ

So that

x² + y² = 3²cos²β + 3²sin²β

= 9(cos²β + sin²β) = 9

That is

x² + y² = 9

The vector parametric equation r(t) is therefore given as

r(t) = <x(t), y(t)>

= <3cost, 3sint>

For 0 ≤ t ≤ 2π

8 0
3 years ago
Lisa is 10 cm taller than her friend ian. Ian is 14 cm taller than jim. Every month, their heights increase by 2 cm. In 7 months
koban [17]

Answer:  Ian's height = x+14 = 69+14 = 83 cm

Explanation :

Let the height of Jim be x

Let the  height of Ian be x+4

Let the height of Lisa be x+4+10=x+14

Since their heights increase by 2cm every months

so after 7 months ,

Jim's  height = x+14

Ian's  height= x+4+14=x+18

Lisa's  height= x+14+14=x+28

According to question,

Sum of Ian's and Jim's height = 170cm

x+18+x+14 = 170\\2x+32 =170\\2x =170-32\\2x = 138

⇒x = \frac{138}{2}

⇒ x= 69cm

∴ Ian's height = x+14 = 69+14 = 83 cm

5 0
3 years ago
Read 2 more answers
Ratio of x and 2 is not greater than 14
allochka39001 [22]
The ratio of x and 2=x:2
not greater than is <

So I'd say the answer would be x:2<14
3 0
3 years ago
Can you help me with these please 30 points
garik1379 [7]

Answer: 1. densities

2. i don’t have the passage but i assume it to be A or D

3. it will sink so A

Step-by-step explanation:

the density must be lower than 1 g/cm3 for it to float

3 0
3 years ago
Read 2 more answers
To find the quotient of 8 divided by one-third, multiply 8 by
likoan [24]

Answer:

3

Step-by-step explanation:

Skip,Flip,Multiply Method

\frac{8}{ \frac{1}{3} }  =  \frac{8}{1}  \times 3 = 24

4 0
3 years ago
Read 2 more answers
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