What is LU decomposition?

Updated May 16, 2026

Short answer

LU decomposition breaks a matrix into lower and upper triangular matrices.

Deep explanation

LU decomposition simplifies solving linear systems by breaking A into L and U matrices. L stores elimination steps, U stores transformed system.

Unlock with a Pro subscription to view this section.

View pricing

Real-world example

No real-world example available yet.

Unlock with a Pro subscription to view this section.

Upgrade to Pro

Common mistakes

No common mistakes listed yet.

Unlock with a Pro subscription to view this section.

Upgrade to Pro

Follow-up questions

No follow-up questions available yet.

Unlock with a Pro subscription to view this section.

Upgrade to Pro

More Linear Algebra interview questions

View all →