If AX = B, then X =?
- AB
- BA
- A⁻¹B
- B⁻¹A
Explanation
To isolate X from the equation AX = B, multiply both sides by the inverse of A (A⁻¹):
A⁻¹(AX) = A⁻¹B → (A⁻¹A)X = A⁻¹B → IX = A⁻¹B → X = A⁻¹B.
To isolate X from the equation AX = B, multiply both sides by the inverse of A (A⁻¹):
A⁻¹(AX) = A⁻¹B → (A⁻¹A)X = A⁻¹B → IX = A⁻¹B → X = A⁻¹B.
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