Q7.
The vectors (1, 2, 0), (0, -4, 2), (1, 0, 1) are
(1) Span R^3
(2) linearly dependent
(3) linearly independent
(4) None of the given answers is true.
Q8.
Let W be the subspace of R^5 defined by
W = {(x base 1; x base 2; x base 3; x base 4; x base 5) 2 R^5 : x base 1 = 3x base 2 and x base 3 = 7x base 4}
Then the basis of W is
(1) (3,1,0,0,1), (3,1,3,0,0), (3,1,0,0,1)
(2) (3,1,0,1,1), (0,0,3,0,1), (0,0,1,3,1)
(3) (3,1,1,0,1), (0,1,1,0,3), (0,0,1,0,1)
(4) None of the given answers is true.
Q9.
The basis for a solution space of given homogenous linear system
x base 1 + x base 2 - x base 3 = 0
x base 1 + x base 2 - x base 3 = 0
x base 1 - x base 3=0
- x base 1 + x base 3=0 x base 2 = 0 x base 2 = 0
- 2x base 1 - x base 2 + 2x base 3 = 0
- 2x base 1 - x base 2 + 2x base 3= 0
- 2x base 1 + 2x base 3 = 0 is
(1) {(1, 0, 1)}
(2) {(1, 0, 1), (0, 1, 0)}
(3) f(1; 1; 1);(1; 0; 1), (2, 1, 2)}
(4) None of the given answers is true.
Q7
Let
Reduced row echelon form:
rref
The vectors are linearly dependent and they don't span
Q8
w={(
}
Let and
None of the given answer is true
Q9
The base is {(1,0,1)}
Comments