Mathematics II

Course Code: MAT102 Course Title: Mathematics II Section: 47_E Date : 27/09/26 Class Test No.: 01 Signature of the Course Teacher: SST Q1: Answer the following questions: a) Define Lower Triangular Matrix, Involuntary Matrix and Sparse Matrix with example. 03 b) "All inverse matrixes are singular square matrix"- verify it. 01 c) Write down the condition for matrix addition and matrix multiplication. 01 Q2: Test the orthogonally of the following matrix, B = [[1/3, 2/3, 2/3], [2/3, 1/3, -2/3], [2/3, -2/3, 1/3]] 03 Q3: Prove that A = [[1, -1, 1], [1, 2, -3], [1, 4, 9]] is invertible matrix. 04 Q4: Given that, C = [[2, 3, 1], [0, 1, 5]] & D = [[1, 2, -6], [0, -1, 3]]. Find 3C - 4D =? 03