Vault Of Euclid

Finding a Non-Diagonal Matrix with a Diagonal Square

Matrix operations warmup

Find a $2 imes 2$ matrix $A$ such that $A^2$ is diagonal but not $A$.

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What you need first

Matrix multiplication
Definition of a diagonal matrix

What this problem tests

Tests the ability to set up a general matrix, perform matrix multiplication algebraically, and solve for conditions that satisfy a given property.

This is a common introductory linear algebra problem that tests understanding of matrix multiplication and properties of diagonal matrices.

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