dimension of subspace of 2x2 matrices MCQ MA Linear Algebra University IIT Jam 2015 mathematics

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Syllabus of Linear Algebra- Vector space, Linear dependence of vectors, Basis, Dimension, Linear transformations, Matrix representation with respect to an ordered basis, Range space and null space, Rank-nullity theorem, Rank and inverse of a matrix, Determinant, Solutions of system of linear equations, Consistency conditions, Eigenvalues and eigenvectors, Cayley-Hamilton theorem, Symmetric, Skew-symmetric, Hermitian, Skew-Hermitian, Orthogonal and unitary matrices.

dimension of subspace of 2x2 matrices MCQ MA Linear Algebra University IIT Jam 2015 mathematics

En Jam MA 2015, 54
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Dimension will be 3 as 4 minus one LI Condition

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The answer is correct, however the solution is incorrect, as can be seen by considering the matrix A with a=1 and d=0 and the said matrix does not commute with the given one

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