Question
Mathematics Question on Vector space
Let F:R4→R3 be the linear mapping defined by:
F(x,y,z,t)=(x-y+z+t, 2x-2y+3z+4t, 3x-3y+4z+5t), then nullity (F) equals
A
0
B
1
C
2
D
3
Answer
2
Explanation
Solution
The correct option is(C):2
Let F:R4→R3 be the linear mapping defined by:
F(x,y,z,t)=(x-y+z+t, 2x-2y+3z+4t, 3x-3y+4z+5t), then nullity (F) equals
0
1
2
3
2
The correct option is(C):2