Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Linear Algebra With Applications
Found in: Page 108
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.


Short Answer

If the matrix [abcdefghi] is invertible, then the matrix [abde] must be invertible as well.

The statement is false.

See the step by step solution

Step by Step Solution

Step 1: Objective

The given statement is “if the matrix abcdefghi is invertible, then the matrix abde is invertible.” The objective is to determine whether or not the given statement is true.

Step 2: Result

Consider the matrix A=123124678. det(A) = 5 Therefore, A is invertible.

Let C=1212


Therefore, C is not invertible.

The matrix 123124678 is invertible but the matrix 1212 is not invertible. Therefore, the given statement is false.

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.