1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murljashka [212]
3 years ago
12

A and B are n×n matrices. Check the true statements below: A. (detA)(detB)=detAB. B. The determinant of A is the product of the

diagonal entries in A. C. If λ+5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A. D. An elementary row operation on A does not change the determinant.
Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer with Step-by-step explanation:

We are given that

A and B are matrix.

A.We know that for two square matrix A and B

Then, det(AB)=det(A)\cdot det(B)

Therefore, it is true.

B. det A  is  the product of diagonal entries in A.

It is not true for all matrix.It is true for upper triangular matrix.

Hence, it is false.

C.\lambda+5=0

\lambda=-5

When  is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.

Hence, it is false.

D.An elementary row operation on A does not change the determinant.

It is true because when an elementary operation applied then the value of matrix A does not change.

You might be interested in
A fox charge of $50 per job, plus. An hourly charge of $80 per hour. What is umesh’s total charge in dollars. C relates to the n
Contact [7]
<span>Given: C -> Umesh's total charge in dollars. h -> the number of hours he spends on a job. Hourly charge =$80 /hr Charge for h hours = 80*h fixed charge per job = $50 Therefore, C = 80h +50 is the required equation to find the total charges</span>
8 0
3 years ago
QUESTION ONE:<br> Solve for h.
Setler79 [48]

Answer:

h = - 105

Step-by-step explanation:

Given

\frac{h}{14} = - 7.5 ( multiply both sides by 14 to clear the fraction )

h = - 105

8 0
3 years ago
Read 2 more answers
A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the
allochka39001 [22]

Answer:

The receiver must be placed at a distance of 6.125 ft from the center.

Step-by-step explanation:

The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.

A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.

We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.

The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.

The extreme two end points becomes, (-7,2) and (7,2)

The general equation for such parabola is:

x² = 4ay

where, a is the distance from the center and the focus.

Since, (7,2) satisfy the equation so,

7² = 4a×2

a = 49 /8

Thus,

<u>The receiver must be placed at a distance of 6.125 ft from the center.</u>

5 0
3 years ago
8. In right triangle LMN shown below, altitude MK is drawn to LN from M. IF LM = 12 and LK =10, then
Elena-2011 [213]

The length of the KN is 4.4

Step-by-step explanation:

We know from Pythagoras theorem  

In a right angle ΔLMN  

Base² + perpendicular² = hypotenuse ²

From the properties of triangle we also know that altitudes are ⊥ on the sides they fall.

Hence ∠LKM = ∠NKM = 90 °

Given values-

LM=12

LK=10

Let KN be “s”

⇒LN= LK + KN

⇒LN= 10+x        eq 1

Coming to the Δ LKM

⇒LK²+MK²= LM²

⇒MK²= 12²-10²

⇒MK²= 44           eq 2

Now in Δ MKN

⇒MK²+ KN²= MN²

⇒44+s²= MN²       eq 3

In Δ LMN

⇒LM²+MN²= LN²

Using the values of MN² and LN² from the previous equations

⇒12² + 44+s²= (10+s) ²

⇒144+44+s²= 100+s²+20s

⇒188+s²= 100+s²+20s    cancelling the common term “s²”

⇒20s= 188-100

∴ s= 4.4

Hence the value of KN is 4.4  

8 0
3 years ago
the number of kilograms of water in human body varies directly as the mass of the body. a 96 kg of water. how many kilograms of
sattari [20]
90milgrams so add and subtract your answer
4 0
3 years ago
Other questions:
  • Solve.<br><br> −24 − 4(x + 2) = 4x
    14·2 answers
  • The radius of a clock face is 8.5 cm.what is the area of a clock face?approximate pi as 3.14.
    7·1 answer
  • What is the surface area of a cubic box that
    13·2 answers
  • A local animal feed company makes its feed by the ton, which is 2000 pounds. They want to include a medication in the feed. Each
    12·1 answer
  • please help.....................................................................................................................
    5·1 answer
  • What is 8/10 and 4/9 close to 0, 1, 1/2
    15·2 answers
  • 4 cookies cost $7. At this rate, how much will 9 cookies cost?
    10·1 answer
  • PLS someone help me find the slope it’s my last question
    6·1 answer
  • 1. Adelle solved the equation ½ (x + 8) = - 30 as shown.
    15·1 answer
  • Which diagram represents the hypothesis of the converse of corresponding angles theorem?mр19yn
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!