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nexus9112 [7]
3 years ago
12

If AB=BA= I then write the relation between matrix A and matrix B​

Mathematics
1 answer:
butalik [34]3 years ago
6 0

Answer:

If  AB = BA = I, then B is inverse of A and vice-versa.

Step-by-step explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by A^{-1}.

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.

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A certain ore is 31.8% nickel by mass. How many kilograms of this ore would you need to dig up to have 25.0 g of nickel?
natulia [17]
It will need 1.8 kilograms to have 25.0 g of nickel
6 0
3 years ago
Solve the compound inequality: <br> 3≤6−3x&lt;15
DerKrebs [107]

<span>solve <span><span>3≤−3x+6<15</span><span>3≤−3x+6<15</span></span></span>

Answer: (−3,1](−3,1]

<span>Approximate Form: <span><span>(<span>−3,1</span>]</span></span></span>

4 0
3 years ago
Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me
Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

V= \pi r^2 h

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr

So finding the partial derivatives we get

dV =\pi r^2 dh + \pi 2r h dr

dV =\pi r^2 dh + 2\pi r h dr

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)

That give us

V= 28 \pi  \, cm^3

Or in decimal value

\boxed{dV= 87.96 \, cm^3}

Thus the volume of metal in the can is 87.96 cubic cm.

6 0
3 years ago
A Ferris wheel has a diameter of 56 ft. how far will a rider travel during a 4-minute ride if the wheel rotates once every 20 se
Luba_88 [7]
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5 0
3 years ago
Enter an inequality that represents the graph in the box.
ANTONII [103]

The inequality that represents the graph in the box  is

y>-3x+6

Given :

The graph of the linear inequality

Lets pick two points from the graph to frame the linear equation

Slope intercept form of the equation is

y=mx+b

Where m is the slope and b is the y intercept

y intercept is (0,6) from the graph

so b=6

Now we find out slope m  using formula

Pick two points (0,6) and (2,0)

slope = \frac{y_2-y_1}{x_2-x_1} \\m=\frac{0-6}{2-0} =-3

m=-3

So the equation is y=-3x+6

Now we check the inequality sign by testing any point on shaded area

lets pick (4,0)

lets plug in 4 for x  and 0 for y

y=-3x+6\\0=-3(4)+6\\\\0=-6\\0>-6

The inequality for the given graph is

y>-3x+6

we cannot use >= sign because we have dotted lines

Learn more : brainly.com/question/17203372

5 0
3 years ago
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