Matrix Algebra: Addition, Scalar Multiplication, Transpose

Related lectures (32)

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Covers matrix operations, including dimensions, transposition, and multiplication properties.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explains the definition and properties of integer multiplication in various scenarios.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Explores natural numbers, their properties, operations, and practical applications like calculating hours in a year.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores linear transformations, matrices, injective, surjective, and bijective properties, matrix operations, and special matrix types.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Explores canonical forms of matrices, matrix products, and linear applications in vector spaces.

Covers the basics of parallelism, including physical examples, historical context, multicore era, and parallel collections in Scala.