Determine whether w is in the span of the given vectors v1; v2; : : : vn
. If your answer is yes, write w as a linear combination of the vectors v1; v2; : : : vn and enter the coefficients as entries of the matrix as instructed is given below
Explanation:
1.Vector to be in the span means means that it contain every element of said vector space it spans. So if a set of vectors A spans the vector space B, you can use linear combinations of the vectors in A to generate any vector in B because every vector in B is within the span of the vectors in A.
2.And thus v3 is in Span{v1, v2}. On the other hand, IF all solutions have c3 = 0, then for the same reason we may never write v3 as a sum of v1, v2 with weights. Thus, v3 is NOT in Span{v1, v2}.
3.In the theory of vector spaces, a set of vectors is said to be linearly dependent if at least one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be linearly independent.
4.Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0. If there are any non-zero solutions, then the vectors are linearly dependent. If the only solution is x = 0, then they are linearly independent.
Answer:
Explanation :
The given information to be listed can are Equipment Number, Equipment Type, Seat Capacity, Fuel Capacity, and Miles per Gallon.
Check the attached document for the solution.
Answer:
Written in C++
#include<iostream>
#include<cmath>
using namespace std;
int main()
{
float degreeC, degreeF;
cout<<"Degree Fahrenheit: ";
cin>>degreeF;
degreeC = 5 * (degreeF - 32)/9;
cout<<"Degree Celsius: "<<degreeC<<" C";
return 0;
}
Explanation:
The question requests that input should be in degree Fahrenheit
Declare all necessary variables
float degreeC, degreeF;
Prompt user for input in degrees Fahrenheit as stated in the question
cout<<"Degree Fahrenheit: ";
Get User Input
cin>>degreeF;
Convert degree Fahrenheit to Celsius
degreeC = 5 * (degreeF - 32)/9;
Display output
cout<<"Degree Celsius: "<<degreeC<<" C";
Answer:
b. spark plugs
Explanation:
Diesel engines are characterized in that the mechanism that activates the explosion of fuel is high pressures, so when the piston reaches the top of the cylinder, the pressure of the air-diessel mixture is so high that it causes the explosion, this It is what generates the power in a diesel engine.
