3 years ago

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Mathematics

1 answer:

zmey [24]3 years ago

7 0

23 balloons would cost 69$

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Suppose that A is nonsingular. Prove that its inverse A-1 is unique. [Hint: Show that if there exists two matrices, B and C, suc

Bogdan [553]

Answer with Step-by-step explanation:

Let A is non-singular

$\mid A\mid\neq 0$

We have to prove that $A^{-1}$ is unique.

Suppose B and C are inverse of A such that

$BA=I$ and AC=I

By using property $AA^{-1}=A^{-1}A=I$

$C=C$

$(BA)C=B(AC)$

$I\cdot C=B\cdot I$

$C=B$

Hence, the inverse of A is unique.

4 0

3 years ago

A tire has a diameter of 184 cm what is the circumference of the tire

viktelen [127]

Here is your answer

diameter of tyre= 184cm

So,

Circumference= $\:{pi}$ ×d

= 3.14 × 184 cm

= 577.76 cm

HOPE IT IS USEFUL

8 0

2 years ago

What is the solution to the system of equations? you must show all work to recieve full credit!

earnstyle [38]

Use the substitution method:
2x - 6y = -12
x - 2y = -8
Then x = 2y - 8
Substitute in the first equation:
2(2y - 8) - 6y = -12
4y - 16 - 6y = -12
-2y = 4
y = -2
Now substitute y in one of the two equations given you prefer:
For example x-2*(-2) = -8
x + 4 = -8
x = -12
The solutions are x = -12 and y = -2

5 0

3 years ago

Which of the following constants can be added to x2 - 10x to form a perfect square trinomial?

Nadusha1986 [10]

X=5
is the answer/................

6 0

3 years ago

The st. joe company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of

77julia77 [94]

Solution: We are given:

μ=3.1,σ=0.5,n=50

We have to find P(Mean <2.9)

We need to first find the z score

z= (xbar-μ)/(σ/sqrt(n))

=(2.9-3.1)/(0.5/sqrt(50))

=(-0.2)/0.0707

=-2.83

Now we have to find P(z<-2.83)

Using the standard normal table, we have:

P(z<-2.83)=0.0023

Therefore the probability of the sample mean being less the 2.9 inches is 0.0023

5 0

3 years ago