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
omeli [17]
3 years ago
8

If A, B, and Care 2x2 matrices; and det(A) = -2, det(B) = -3, and det(C)=-4 then compute: det(4C^TA^-1 C^TB^3) = 0 Official Time

: 12:46:13 SUBMIT AND MARK SAVE AND CLOSE
Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer with explanation:

|A| = -2

|B|= -3

|C| = -4

|4 C^TA^{-1}C^TB^{3}|=4 |C||A|^{-1}|C||B|^3, \text{as}|C^T|=|C|,|A^n|=A^n\\\\=4 \times (-4) \times (-2)^{-1} \times (-4) \times (-3)^3\\\\=4 \times (-4) \times \frac{-1}{2} \times (-4) \times (-27)\\\\=-1728 \times \frac{-1}{2} \\\\=864

You might be interested in
Someone please answer this is so hard for me I don’t know where to start or how to answer :(
mezya [45]

The given triangle is a right angle .

In this triangle for angle A side AC is adjacent side ,BC is opposite side and AB is hypotenuse.

Sin of any angle is the ratio of opposite and hypotenuse .

sin=\frac{opposite}{hypotenuse}

Substituting the values of opposite and hypotenuse

SinA=\frac{12}{37}

5 0
3 years ago
1. What is the value of the expression f2 + 5 if f = 3?<br> A. 8<br> B. 2<br> C. 6<br> D. 14
zaharov [31]

Option D: 14 is the right answer

Step-by-step explanation:

In order to find the value of given expression we have to put the given value for f in the expression

Given expression is:

f^2+5

We have to find the value of expression on f=3

So,

putting f=3 in expression

= (3)^2+5\\= 9+5\\=14

The value of given expression at f=3 is 14

Hence,

Option D: 14 is the right answer

Keywords: expressions, variables

Learn more about expressions at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

8 0
3 years ago
If you help me with I will be very
tatyana61 [14]
First you will have to put the greater to least
6 0
4 years ago
A 10 ft ladder is being pulled away from a wall at a rate of 3 ft/sec. What is the rate of change in the area beneath the ladder
andriy [413]

Answer:

The rate of change in the area beneath the ladder is 5.25 ft²/s

Step-by-step explanation:

Area of triangle is given by;

A = \frac{1}{2}bh\\\\2A = bh\\\\take \ derivative  \ of \ both \ sides \ with \ respect  \ to \ "t"\\\\2\frac{dA}{dt} = h\frac{db}{dt} + b\frac{dh}{dt}\\\\divide \ through \ by \ 2\\\\\frac{dA}{dt} = (\frac{h}{2} )\frac{db}{dt} + (\frac{b}{2}) \frac{dh}{dt}

where;

b is the base of the triangle, given as 6 ft

h is the height of the triangle, determined  by applying Pythagoras theorem.

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8 ft

Determine the rate of change of the height;

h^2 + b^2 = 10^2\\\\h^2 + b^2 =100\\\\2h\frac{dh}{dt} + 2b\frac{db}{dt} =0\\\\h\frac{dh}{dt} + b\frac{db}{dt} =0\\\\h \frac{dh}{dt}  = -b\frac{db}{dt} \\\\\frac{dh}{dt}  = (\frac{-b}{h} )\frac{db}{dt}\\\\\frac{dh}{dt}  =(\frac{-6}{8})(3)\\\\\frac{dh}{dt}  = -\frac{9}{4} \ ft/s

Finally, determine the rate of change of area beneath the ladder;

\frac{dA}{dt} = (\frac{h}{2} )\frac{db}{dt} + (\frac{b}{2}) \frac{dh}{dt}\\\\\frac{dA}{dt} = (\frac{8}{2} )(3) + (\frac{6}{2}) (\frac{-9}{4})\\\\\frac{dA}{dt} = 12 - \frac{27}{4} \\\\\frac{dA}{dt} = \frac{48-27}{4}\\\\\frac{dA}{dt} = \frac{21}{4} \ ft^2/s\\\\\frac{dA}{dt} =  5.25 \ ft^2/s

Therefore, the rate of change in the area beneath the ladder is 5.25 ft²/s

5 0
3 years ago
How do you write 304,001 in two forms
a_sh-v [17]
3,000+4,000+1
Three hundred four thousand, one
6 0
3 years ago
Other questions:
  • The answer to a division problem is greater than the divisor always never or sometimes pick one
    8·2 answers
  • Write the fraction of 250,000
    7·1 answer
  • What is the half-life for the zombie population? Explain in terms of exponents
    11·1 answer
  • A card is drawn from a deck of 52 cards. match the correct fraction with its corresponding probability. 1. p(a diamond or a hear
    9·2 answers
  • The graph of g(x) is the graph of f(x)=x^2 shifted 4 units left, vertically stretched by a factor of 3, then shifted 5 units up.
    15·1 answer
  • F(x) = x4 +x - 5, find f(0).
    9·1 answer
  • A new television set was recently purchased for the common room in a residence hall for 479.60 including tax. If the tax rate is
    12·2 answers
  • What is the perimeter of the building foundation uncovered by the archaeologists?
    9·1 answer
  • Helpp pleasee ................................
    9·1 answer
  • A clothing retailer is gathering data on the amount of time each customer spends shopping in its stores. Each location collected
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!