Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Linear Algebra Algebra of Linear Transformations
Let T : ℝ3 → ℝ3 be a linear transformation such that T(1, 2, 3) = (1, 2, 3), T(1, 5, 0) = (2, 10, 0) and T(-1, 2, -1) =(-3, 6, -3). The dimension of the vector space spanned by all the eigenvectors of T is
1
0
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1
3
2
4
3
5
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