LIN_Practice_Final_Solutions.pdf - Johns Hopkins University...

This preview shows page 1 - 4 out of 13 pages.

We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Fraud Examination
The document you are viewing contains questions related to this textbook.
Chapter 2 / Exercise 10
Fraud Examination
Albrecht/Albrecht
Expert Verified
Johns Hopkins University, CTYOnlineLIN Practice Final Solutions1. (20 points, 4 points each) Clearly write the wordTRUEorFALSEnext to each statement.Give a brief justification for your answer.(a) A linear transformationT:RnRmwith standard matrixAis one-to-one ifAhas apivot in every row.
(b) Forn1,Pnis isomorphic toRn+1.
(c) IfQ(x1, x2) is a quadratic form, thenQ(x1, x2) = 1 is an equation of either an ellipse ora hyperbola.
(d) If det(A-3I)6= 0, then 3 is an eigenvalue ofA.
(e) Ifhv,wi= 0 for all vectorswin an inner product space, thenv= 0.
1
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Fraud Examination
The document you are viewing contains questions related to this textbook.
Chapter 2 / Exercise 10
Fraud Examination
Albrecht/Albrecht
Expert Verified
Johns Hopkins University, CTYOnlineLIN Practice Final Solutions2. (20 points, 4 points each) Are the following statements ALWAYS, SOMETIMES, or NEVERtrue? Clearly writeALWAYS,SOMETIMES, orNEVERnext to each, and briefly justifyall your answers.
(c) IfAis row equivalent toB, then ColA= ColB.Sometimes. True if
(d) For any invertible matrixA, detA-1= detA.Sometimes. In general, detA-1= (detA)-1. If detAequals 1 or -1, then detA-1=detA.(e) Ifa < b, then the vector spaceC[a, b] of continuous functions on the interval [a, b] isfinite dimensional.
2
Johns Hopkins University, CTYOnlineLIN Practice Final Solutions

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture