From the course: Quantum Computing Fundamentals

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Overview of matrix operations

Overview of matrix operations

- The next section of this course will require us to multiply vectors and matrices. So let's have a quick refresher on how matrix multiplication works. Like the previous math refresher videos on vectors and complex numbers, if you're already comfortable multiplying vectors and matrices and finding the conjugate transpose of a matrix, feel free to skip ahead. A matrix is a rectangular array or table of values, usually written in brackets as shown here. We describe the dimensions of a matrix as the number of rows it has by the number of columns, often referred to by the variables m for the number of rows and n for the number of columns. For example, the matrix shown here has two rows and three columns, so it's a two-by-three matrix. This other example matrix has dimensions two-by-two and this third example is a three-by-one matrix. Notice that the three-by-one matrix is similar to a column vector with three elements. We can…

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