BSc CSIT (TU) Science Mathematics II (BSc CSIT, MTH163) Question Paper 2079
This is the official BSc CSIT (TU) (Science stream) Mathematics II (BSc CSIT, MTH163) question paper for 2079, 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 2079 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Define subspace of a vector space. Show that the intersection of two subspaces is a subspace but the union need not be. Give a counterexample for the union.
Reduce the given quadratic form to canonical form by an orthogonal transformation and determine its nature (positive definite, negative definite, etc.).
Solve the system of linear equations using matrix inversion method and Cramer's rule. Compare the two methods.
Section B: Short Answer Questions
Attempt any EIGHT questions.
Define an orthogonal matrix and state its properties.
What is meant by the consistency of a system of equations?
Define the range of a linear transformation.
State the Gram-Schmidt orthogonalization process.
Define a quadratic form with an example.
Find the eigenvalues of the identity matrix of order 3.
Define the nullity of a matrix.
What is a unitary matrix?
Verify whether (1,1,0), (0,1,1), (1,0,1) span (R^3).