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Interchanging Rows - Linear Algebra - Solved Exam, Exams of Linear Algebra

Dr. Bhim Rao Ambedkar UniversityLinear Algebra

This is the Solved Exam of Linear Algebra which includes Matrix, System, Row Reduce, System, Solve, Top Left Entry, Appropriate Algorithm, Jump, Last Column etc. Key important points are: Interchanging Rows, Determinants, Properties, Obtained, Invertible, Basis, Dimension, Sets, Appropriate, Vector Space

Typology: Exams

2012/2013

Uploaded on 02/27/2013

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Math 205B Test 2 (45 points) Name: Solubans © Check that you have 6 questions on three pages. © Show all your work to receive full credit for a problem, 1. (8 points) Let A and B be 3 x 3 matrices, with det A = 2 and det B = —5. Use properties of determinants to compute: (a) det 4B Pdéke = 4 ex] 320 (b) det C where C is obtained from A by interchanging rows 1 and 3 deb C =—det A= — (c) det ATBT (det AT) Chet BT) = Geb Ad Chek B) = 2-5) =—Io- (d) det (AB) if AB is invertible. Otherwise, explain why AB is not invertible. det (AB) = (det A) (deb B) = 20-SJ=-I0 deb (KG) =FO. So AB is iowehble . deb OB) Sl deta) —lo