Determine if b is a linear combination of the vectors formed from the columns of the matrixA=[1 -4 2] B=[3] [ 0 3 5] [-7] [-2 8 -4] [-3]

isn't a linear combination of the vectors formed from the columns of the matrix

Step-by-step explanation:

The question is misspelled. The correct matrix and vector are :

In order to determine if is a linear combination of the vectors formed from the columns of the matrix we write the following linear combination with the columns from :

        (I)

This can be also written as :

Where is the following vector :

The matrix from the system (I) is :

Applying matrix operations to the system matrix we obtain this equivalent matrix :

From the third row we obtain that

Which is an absurd. Therefore the system has no solution and it doesn't exist a linear combination of the vectors formed from the columns of the matrix to obtain the vector .

Finally, isn't a linear combination of the vectors formed from the columns of the matrix

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.