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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.

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Explain the difference between deductive and inductive arguments in your own words.
lyudmila [28]

Answer: The difference is as follows:

Step-by-step explanation:

  • Deductive Arguments: A deductive argument is an argument wherein it is felt that the premises give an assurance of reality of the end. In a deductive arguments, the premises are planned to offer help for the conclusion that is so strong to an extent that, if the premises are valid, it would be impossible for the conclusion to be false.

  • Inductive Arguments: An inductive arguments is an arguments where it is believed that the premises provide reasons supporting the likely truth of the conclusion. In an inductive arguments, the premises are proposed distinctly to be strong to an extent that, on the off chance that they are valid, at that point it is impossible that the conclusion is false.

The contrast between the two originates from the kind of connection the author or explainer of the argument takes there to be between the premises and the conclusion. In the event that the author of the argument accepts that reality of the premises certainly sets up reality of the conclusion because of definition, l<igical entailment or scientific need, at that point the argument is deductive. In the event that the author of the argument does not feel that reality of the premises certainly sets up reality of the conclusion, however in any case accepts that their fact gives valid justification to accept the conclusion genuine, at that point the argument is inductive.

5 0
3 years ago
What dividend is represented by the synthetic division below?
Igoryamba

In synthetic division we write only the coefficients of the dividend inside an upside-down division symbol. As we can clearly see from the picture given to us in the question, the coefficients of the dividend inside the upside-down division symbol are 2, 10, 1 and 5.

Now, from the given options, the only option that matches the given coefficients is the second option which is: 2x^3+10x^2+x+5.

Thus, the second option, 2x^3+10x^2+x+5, is the correct option.

3 0
3 years ago
Read 2 more answers
When x=6, what kind of line do you have? Horizontal or vertical
Wewaii [24]

Answer:

Vertical

Step-by-step explanation:

You have a vertical line at point (6,0).

5 0
4 years ago
Read 2 more answers
What is the x to this line?
777dan777 [17]

Answer: x=64.


Step-by-step explanation:

48=3x/4

Multiply both sides by 4 : 192=3x

Divide both sides by 3. : x=64

Check: 64*3=192; 192/4=48 J=48 So x is 192.

Hope this helps! :p

3 0
3 years ago
Solve the system of equations.<br> 14x + y = −4 <br> y = 3x^2 − 11x − 4
Citrus2011 [14]
X = 0 or x = -1

You can solve this by using the second equation, which is already solved for y and subbing that in for y in the first equation. 

14x + (3x^2 - 11x - 4) = -4
14x + 3x^2 - 11x = 0
3x^2 + 3x = 0

Then you can solve by pulling out the greatest common factor

3x(x + 1) = 0

Then set each part equal to 0 

3x = 0
x = 0

x + 1 = 0
x = -1
6 0
3 years ago
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