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
antoniya [11.8K]
3 years ago
12

Determine the dimension of the vector space. M4,2

Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:  

STEP 1  

M_{4,2} is set of 4x2 matrices hence each matrix has 4*2=8 entries. Each entry can be filled independently.  

Hence its basis has 8 linearly independent vectors.  

STEP 2  

Dimension= cardinality of basis = 8.

You might be interested in
Which expression is equivalent to 4^-5?
Basile [38]
Since there is a negative exponent, you need to first convert that into a positive exponent which is going to be 1/4^5
Then, we can find out the answer by simply breaking apart the exponents into 5 groups of 4.
1/(4)(4)(4)(4)(4)
Answer: B
7 0
3 years ago
Read 2 more answers
Pratap Puri rowed 14 miles down a river in 2 ​hours, but the return trip took him 3 and one half hours. Find the rate Pratap can
SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

7 0
2 years ago
Help this is due today!!!!
KIM [24]

\frac{4}{32}  \times 100 = 12.5\%
7 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Daniel [21]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Danielle and David each have a job. Danielle earns $15 an hour. She also receives a $50 weekly bonus. Danielle wrote an equation
S_A_V [24]
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is greater quotient 376.0÷93 or 376÷93.01
    12·2 answers
  • Which of the following is a composite number?
    12·2 answers
  • If 4 bunnies can eat all the crops in a garden in 10 hours, how long will it take 5 bunnies to eat the same crops?
    6·2 answers
  • The Jackson family went out to dinner
    11·1 answer
  • Please help with this thanks
    5·2 answers
  • One is dollar is currently worth 84.1 Japanese yen. If you exchange 4,205 for US dollars, how much will you have?
    7·2 answers
  • What is the fifth term in the geometric sequence?<br> 1, 2, 4, 8,
    14·2 answers
  • What is the value of x? 14 17 27 34
    6·2 answers
  • 12. The Williams family ate dinner at Olive Garden. The
    6·1 answer
  • C is the circumcenter of isosceles triangle ABD with vertex angle ABD. Does the following proof correctly justify that triangles
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!