Must solve maximum number of subparts out of it. Consider(1)inverse.A =4 0 30 2 -11 2 -249show that A is invertible and find its(2)Find the determinant of A in two different ways: using cofactor expansion alongthe first row and using cofactor expansion along the third column. (3)(5)(6)Find det(1¹2).Find det (5A).Find the adjoint of A. This needs Section 3.3.Consider the linear system Ax = b, whereb=2Find 3 using Cramer's Rule. This needs Section 3.3.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider (1) inverse. A 0 2 1 2 show that A is invertible and find its (2) Find the determinant of A in two different ways: using cofactor expansion along the first row and using cofactor expansion along the third column.