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
21 POINTS FOR HELP!!!!!!! AND BRAINLIEST!!!!!
Alex Ar [27]

Answer: 2cm

Step-by-step explanation:

6 0
3 years ago
Simplify the expression to a polynomial in standard form. (X+1)(3x^2+9x+2)
OLEGan [10]

Answer:

3x^3 + 12x^2 +11x +2

Step-by-step explanation:

this is also a cube root expanded If that helps

4 0
2 years ago
Write the number 3.8 in the form a/b using integers , to show that it is a rational number
Neporo4naja [7]

Answer:

38/10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
if you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?
Romashka-Z-Leto [24]

Answer:

see below

Step-by-step explanation:

2x+8y=12 3x-8y=11

If we have to solve by substitution, Take the first equation and divide by 2

2x/2 + 8y/2 =12/2

x+4y = 6

Then subtract 4y from each side

x = 6 -4y

Then substitute this into the second equation

This is best solved by elimination

2x+8y=12

3x-8y=11

----------------

5x = 36

x = 36/5

6 0
2 years ago
I need a models or visuals for that problem​
Leya [2.2K]

Answer:I will be a mode

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Let f(x) = 4x - 5 and g(x) = 6x - 3. Find f(x) - g(x).
    7·2 answers
  • Find the sale price
    12·1 answer
  • Question 11 and 12 please help
    5·1 answer
  • Would the following situation be better represented by a linear function or an exponential function:
    8·1 answer
  • What is an equation of the vertical line that passes through (-2,-9)
    9·1 answer
  • Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l
    13·1 answer
  • Find the tenth term for 81,54,36
    9·1 answer
  • Graph the function. Need ASAP
    6·1 answer
  • Given that h(x) = 5-2x, find the value(s) of x when h(x) =3​
    9·2 answers
  • 18 ≤ -2x = what?? please answer im in class
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!