CSIR NET MATHEMATICS || JUNE 2017 || LINEAR ALGEBRA || PART C || SOLUTION

Linear algebra,
Vector space, subspace, basis, dimension, direct sum, linearly dependent, linearly independent, range space, null space, Sylvester's law, linear transformation, linear operator, Isomorphism, matrix representation of linear transformation, rank of matrix, nullity , determinant, inverse of matrix, trace, Idempotent matrix,eigen value, eigen vector, Diagonalizability, characteristic polynomial, Jordan canonical form, Inner product, Gram Schmidt Orthogonalization process, unitary operator, normal operator, self adjoint operator, Quadratic form, Bilinear form, negative definite, positive definite, semi definite.
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[piyalikarmakar]

please upload the solutions of the rest of the problems not mentioned here!!

[subhendudas]

73. Option b is done by wrong method. Its diagonal

[mathematicscs]

Ma'am last question answer is wrong
..your vedio and voice are not match at last question...please check