The coordinate vector of
The coordinate vector of
Any arbitrary vector in
Thus, for the vector
1)
On comparing the terms of both the sides in the above equation (1) gives the following equations.
The representation of the linear system in a matrix is,
The solution of the above system gives as by solving the augmented matrix
Use Elementary row transformations to reduce the augmented matrix to row reduced Echelon form.
Step 1:
Step 2
Step 3:
Step 4:
(a) Find the bases and dimension for the subspace
The coordinates of the point in the \(\displaystyle{x}
[ k 1 −2 ,4 −1 2]