Question:
Let \(F: R^4 → R^3\) 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
Let \(F: R^4 → R^3\) 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
F(x,y,z,t)=(x-y+z+t, 2x-2y+3z+4t, 3x-3y+4z+5t), then nullity (F) equals
Updated On: Mar 21, 2024
- 0
- 1
- 2
- 3
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is(C):2
Was this answer helpful?
0
0
Top Questions on Vector space
- In a group G, if a5 = e, aba-1 = b2 for a, b ∈ G then o(b) is equal to:
- CUET (PG) - 2023
- Mathematics
- Vector space
- If $V_1$ and $V_2$ are the 3-dimensional subspaces of the 4-dimensional vector space, then the smallest possible dimension of $V_1 ∩ V_2$ is
- CUET (PG) - 2023
- Mathematics
- Vector space
- Let U and W are distinct 4-dimensional subspaces of a vector space V of dimension 6. Consider the following statements:
A. The dimension of U ∩ W is either 2 or 3.
B. The dimension of U + W is either 5 or 6.
C. The dimension of U ∩ W is always greater than 4.
D. The dimension of U + W is always greater than 4.
Choose the correct answer from the options given below:- CUET (PG) - 2023
- Mathematics
- Vector space
- The directional derivative of Φ(x,y,z) = x2yz+4xz2 at (1, -2, 1) in the direction of \(2\hat{i}-\hat{j}-2\hat{k}\) is
- CUET (PG) - 2023
- Mathematics
- Vector space
- If \(\vec{F} = (x+2y+az)\hat{i} + (bx −3y-z)\hat{j}+(4x+cy+2z)\hat{k}\) is irrotational, where a, b and c are constant, then a2 + b2 + c2 is equal to :
- CUET (PG) - 2023
- Mathematics
- Vector space
View More Questions
Questions Asked in CUET PG exam
- Find out the degree of the differential equation \(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
- CUET (PG) - 2023
- Differential Equations
- The surface area of the sphere x2 + y2 + z2 = 9 lying inside the cylinder x2 + y2 = 3y is
- CUET (PG) - 2023
- Surface Area of Cube, Cuboid and Cylinder
- The Ombudsman in a newspaper organisation represents the point of view of the ___.
- CUET (PG) - 2023
- Journalism
- The orthogonal trajectories of the family of curves y = \(ax^3\) is
- The minimum distance of the point (3, 4, 12) from the sphere x2 + y2 + z2 = 1 is
- CUET (PG) - 2023
- Coordinate Geometry
View More Questions