4. (a) [ matrix s] Using the method of cofactor expansion compute the determinant of the [-2 0 1 -3] 1 A = -7 -2 4. 1 1 Let A and B be 3 x 3 matrices such that B is obtained from A as follows: First scale the 3rd column of A by - Next add the second row of the resulting matrix to its first row. • Finally, swap the first and the third columns of the matrix obtained in the previous step. Suppose that det(A) = 2. What is det (B)? %3D
4. (a) [ matrix s] Using the method of cofactor expansion compute the determinant of the [-2 0 1 -3] 1 A = -7 -2 4. 1 1 Let A and B be 3 x 3 matrices such that B is obtained from A as follows: First scale the 3rd column of A by - Next add the second row of the resulting matrix to its first row. • Finally, swap the first and the third columns of the matrix obtained in the previous step. Suppose that det(A) = 2. What is det (B)? %3D
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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