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Linear Algebra

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Moderate

Triangularity and Invertibility

LINALG-CQESXQ

Which of the following conditions imply that a square matrix $A$ is invertible?

Select ALL that apply.

A

$A$ is diagonal

B

$A$ is upper triangular with nonzero diagonal entries

C

Each entry of $A$ is a positive real number

D

$A$ can be obtained from the identity matrix by a sequence of elementary row operations