Question: 1. Find the dimension and a basis for the solution space. (If an answer does not exist, enter ONE for the dimension and in any

any cell of the vector.) X, + 5X, + 6X3 + 7X4

= 0 2x, + 10%2 + 13X, + 7X4 = 0 dimension

basisFind the dimension and a basis for the solution space. (If an

Find the dimension and a basis for the solution space. (If an answer does not exist, enter ONE for the dimension and in any cell of the vector.) X, + 5X, + 6X3 + 7X4 = 0 2x, + 10%2 + 13X, + 7X4 = 0 dimension basisFind the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) *, + 4x, - 15x, - 27* + 11X, = 0 X, + 5X, + X +7X= = 0 2x, + 5x, - 15X, - 33X + 19X, = 0 dimension basisFind the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) X, +X, - 4X3 = 5 2x, - 3x, + 2x2 = 15 dimension 1 X 6 basisSuppose that V = K and x is the following. X = 25 9 If is an ordered basis for V, find [x] , the coordinates of vector x with respect to the ordered basis B. [x]B = ESuppose that V = R and x is the following. 15 X = 24 9 If is an ordered basis for V, find [x], the coordinates of vector x with respect to the ordered basis B. [x] =

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