Log in
Mathematics
2
answers
0
watching
423
views
26 Nov 2018

1 mark 3 0. Let A be an invertible n x n matrix. Which one of the following is false? A: If ATA= I then det A = +1. B: If A= A-1 then det A = +1. C: If AT = A-1 then det A = +1. D: If AT = A then det A = +1. E: If A2 = I then det A = +1.

word_media_image1.png
Watch
2
answers
0
watching
423
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Jamar Ferry
Jamar FerryLv2
28 Nov 2018
Already have an account? Log in
Share

Related questions

2. Let A be an n x n matrix. Which of the following statements are TRUE? (i) If Ax = b has a solution for every beR", then Ax = 0 has non-trivial solutions. (ii) If A is invertible, then Ax = b has a solution for every beR" (iii) If A is invertible, then AP is also invertible. (A) (ii) only (B) (i) and (ii) only (C) (ii) and (iii) only (D) (i) and (iii) only (E) (i), (ii), and (iii)

1 mark 16. If A is an n x n invertible matrix, which of the following statements are false? (i) The rank of A is n. (ii) Ax = b has a unique solution for any b. (i) Ax = 0 has only the trivial solution. (iv) The row-reduced echelon form of A is an identity matrix. C: (iv) only A: (i) only D: (i) and (iv) only B: (i) and (ii) only E: none of (i), (ii), (iii) or (iv)

1 1 3. If A is a square matrix such that A3 = I, which one of the following must always be true? mark A: A=I B: AP= I C: AT = A D: A-1 = A2 E: A is a zero matrix

Related Documents

MATH 3A
Final Exam
Study Guide
MATH 3A Midterm: MATH 3A Midterm 2 Spring 2015
turquoisegnu128
MATH 3001
Final Exam
Study Guide
MATH 3001 Study Guide - Midterm Guide: Identity Matrix, Gaussian Elimination, Linear Combination
beigehorse43
MATH136 Lecture Notes - Coefficient Matrix, Elementary Matrix, Invertible Matrix
ochresquirrel161

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in