The Inverse of a 2×2 Matrix
The inverse of a matrix is what undoes it — multiply the two together in either order and you get the identity. Not every matrix has one, and the determinant decides which do.
This quiz covers the 2×2 inverse formula, why a zero determinant rules it out, how to verify an inverse by multiplying back, and the rule that reverses the order when you invert a product.
Take Determinants first if you have not already — the formula here divides by one.
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What This Quiz Covers
- What defines an inverse matrix
- Which 2×2 matrices have one
- The inverse formula step by step
- Checking an inverse by multiplying back
- Why a zero determinant blocks it
- The inverse of a product
Sample questions3 of 13 shown
Q1
What defines the inverse A⁻¹ of a square matrix A?
Q2
Which 2×2 matrices have an inverse?
Q3
What is the determinant of A = [[4, 7], [2, 6]]?
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