BSc CSIT (TU) Science Mathematics II (BSc CSIT, MTH163) Question Paper 2077
This is the official BSc CSIT (TU) (Science stream) Mathematics II (BSc CSIT, MTH163) question paper for 2077, as set in the regular annual examination. It carries 60 full marks and a time allowance of 180 minutes, across 12 questions. On Kekkei you can attempt this Mathematics II (BSc CSIT, MTH163) past paper online with a timer, get instant AI feedback and step-by-step solutions, and track the topics where you lose marks — completely free. Whether you are revising for your BSc CSIT (TU) Mathematics II (BSc CSIT, MTH163) exam or solving previous years' question papers, this 2077 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Solve the system of linear equations using the Gauss-Jordan method. Discuss the consistency of the system using the rank of the coefficient and augmented matrices.
Define orthogonal and orthonormal sets of vectors. Apply the Gram-Schmidt orthogonalization process to a given set of vectors.
Diagonalize the given matrix A by finding a matrix P such that (P^{-1}AP) is diagonal. State the conditions under which a matrix is diagonalizable.
Section B: Short Answer Questions
Attempt any EIGHT questions.
Define linearly dependent vectors with an example.
What is an augmented matrix?
Define dimension of a vector space.
State the conditions for diagonalizability of a matrix.
Define an inner product space.
Find the eigenvalues of [[4,1],[2,3]].
What is the kernel of a linear transformation?
Define a Hermitian matrix.
State Cramer's rule.