This preview shows page 1. Sign up to view the full content.
Unformatted text preview: les
the determinant of the new matrix by the
same amount. = (1)(1 − 4) + (1)(2 − 1) = −2 . Consequently, the statement is Consequently, TRUE . det[B 5 ] = (−2)5 = −32 .
006
005 10.0 points For every 3 × 3 matrix a11 a12
A = a21 a22
a31 a32
and scalar k , ka11 a21
det
a31 10.0 points The matrix 50
A = 1 −3
05 a13
a23 a33 is invertible.
True or False? ka12
a22
a32 True or False? ka13
a23 = k det[A] .
a33 1. TRUE
2. FALSE correct
Explanation: −1
−2 3 cruz (fmc326) – HW08 – gilbert – (56540)
The matrix A will be invertible if and only
if det(A) = 0. Now
5
1
0 det(A) = −1
−2
3 1 −3
−2
−
05
3 −3
5 =5 0
−3
5 But then 1 0...
View
Full
Document
This document was uploaded on 03/16/2014 for the course M 340L at University of Texas.
 Spring '08
 PAVLOVIC
 Matrices

Click to edit the document details