Essentials of Mechatronics

Chapter 7.5 - The Unit Matrix

7.5   THE UNIT MATRIX

One last point to note before moving on is that

 

The matrix with 1s down its diagonal and 0s elsewhere has the special property
that its product with any vector or matrix leaves that vector or matrix
unchanged. Of course, there is not just one unit matrix; they come in all sizes
to fit the rows of the matrix that they have to multiply. This one is the 3 × 3
version.

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