Explanation

Solve:
AX = B

Multiply both sides by A⁻¹:
X = A⁻¹B

This is efficient for large systems.

Quiz

1. What is the final formula?

2. Why multiply by A⁻¹?

3. Does A⁻¹ always exist?

4. Is this faster than substitution?

5. Is this used in real applications?

Answer Key

1. X = A⁻¹B

2. To isolate X

3. No

4. Yes

5. Yes