CHAPTER THREEMatrix Operations
3.1 MATRICES
If an assertion about matrices is false, there is usually a 2 × 2 matrix that reveals this.
—OLGA TAUSKY-TODD (1906–1995)
I am sorry to say that the subject that I most disliked was mathematics…. I think the reason was that mathematics leave no room for argument. If you made a mistake, that was all there was to it.
—MALCOLM X (1925–1965)
Matrix Addition and Scalar Multiplication
Matrices play a central role in linear algebra. We can add matrices to each other, multiply a matrix by a scalar, and multiply matrices. Some matrices have inverses; square matrices have eigenvalues and eigenvectors. Many of these matters lie ahead of us in the unfolding of linear algebra.
The word matrix now has many commercial ...
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