The equation for the line g can be written as x-y=9. Line h is parallel to line g and passes through (4,5). What is the equation
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<h2>Answer:</h2>
The values of x for which the given vectors are basis for R³ is:
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
Now, the determinant of this matrix is:
Hence,