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
Nana76 [90]
3 years ago
5

Suppose CAequalsISubscript n ​(the ntimesn identity​ matrix). Show that the equation ABold xequalsBold 0 has only the trivial so

lution. Explain why A cannot have more columns than rows
Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

See Explanation

Step-by-step explanation:

(a)For matrices A and C, given that: CA=I_n.

We want to show that Ax=0 has only the trivial solution

If Ax=0

Multiply both sides by C

C(Ax)=C \times 0\\\implies (CA)x=0$ (Recall: CA=I_n)\\\implies I_nx=0 $ (Since I_n$ is the n\times n$ identity matrix)\\\implies x=0

This means that the system has only the trivial solution.

(b)If the system has more columns than rows, a free variable would occur when a column does not have a pivot. This would lead to a non-trivial solution.

You might be interested in
Find the missing base.
Leto [7]
The answer is 2. 2^6=64


8 0
3 years ago
Read 2 more answers
What is 689 divided by 24
ozzi
28.7083333333...
But you could also round it up to 29.
3 0
3 years ago
What is the equation of a circle with the center (2,3) and radius 3
ruslelena [56]

Answer:

(x - 2)² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (2, 3) and r = 3, hence

(x - 2)² + (y - 3)² = 9 ← equation of circle

4 0
3 years ago
Which systems of equations intersect at point A in this graph?
Svet_ta [14]

Y = 4 x - 9

y = - 3 x - 5

I hope this will help you

i looked this up and this is what i got

6 0
3 years ago
assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, a
WITCHER [35]

Answer:

a=4, k=2, and b= -pi/4

Step-by-step explanation:

<3

5 0
3 years ago
Other questions:
  • What is the value of a in the equation 3a + b = 54, when b = 9?
    10·2 answers
  • Which of the following is tge first four terms of the sequence a n=3n+5?
    15·1 answer
  • Toni recipe also calls for seasonings. She needs to stir in 215 milligrams of pepper and 437 milligrams of salt. What is the dif
    12·1 answer
  • An article is purchased for Rs.5000 andsold for Rs.4500.Find loss percent<br><br>​
    15·1 answer
  • A pet store sold 74 puppies in a week if each puppy is $ 65 how much money would they have made
    12·2 answers
  • The value (in degrees) of each of the interior angles of a regular n-gon is represented by x. Write an inequality that describes
    14·2 answers
  • Select the correct description for the expression 5(x-7)
    8·2 answers
  • -4 = -2 + 2x <br> What is the answer to this
    6·2 answers
  • 38574+48422999999999
    12·1 answer
  • Someone please help I will mark brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!