Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Engineering Mathematics Linear Algebra Matrix Algebra
Let W be a vector space over ℝ and let T : ℝ6 → W be a linear transformation such that S = {Te2,Te4, Te6} spans W. Which one of the following must be TRUE?
1
S is a basis of W
2
T(R6) ≠ W
3
{Te1 Te3, Te5} spans W
4
ker (T) contains more than one element
5
Question Not Attempted