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However, in the remainder of this article we will consider only square matrices.

When the blocks are square matrices of the same order further formulas hold.

Let be a square matrix whose columns are those eigenvectors, in any order.

The entries a form the main diagonal of a square matrix.

Any two square matrices of the same order can be added and multiplied.

Thus for example only a square matrix can be idempotent.

The case of a square invertible matrix also holds interest.

It is required to solve The square matrix has been used in Example 2.3.2.1.

The determinant takes a square matrix and returns a number.

This example shows that the Jacobian need not be a square matrix.