Associative and distributive properties of matrix multiplication and addition; multiplication by the identity matrix; definition of the transpose of a matrix; transpose of the transpose, transpose of a sum, transpose of a product

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##### Matrix-scalar multiplication is commutative, associative, and distributive. math.la.t.mat.scalar.mult.commut_assoc

##### Matrix multiplication is distributive over matrix addition. math.la.t.mat.mult.distributive

##### The identity matrix is the identity for matrix multiplication. math.la.t.mat.mult.identity

##### Definition of transpose of a matrix math.la.d.mat.transpose

##### Matrix transpose is an involution. math.la.t.mat.transpose.involution

##### The transpose of a product of matrices is the product of the transposes in reverse order. math.la.t.mat.mult.transpose