query: Why is it important to be able to multiply matrices?
positive_passages.docid: 25604
positive_passages.text: Why, historically, do we multiply matrices as we do?
negative_passages.docid: 87318
negative_passages.text: Why are symmetric positive definite (SPD) matrices so important?
negative_passages.docid: 98054
negative_passages.text: Why do we use 4x4 matrices to transform things in 3D?
negative_passages.docid: 61125
negative_passages.text: How to speed up matrix multiplication in C++?
negative_passages.docid: 123408
negative_passages.text: Why a subspace of a vector space is useful
negative_passages.docid: 70397
negative_passages.text: Building matrices by attaching vectors (columns) and matrices
negative_passages.docid: 49409
negative_passages.text: Are all of the following statements equivalent? (vectors and matrices)
negative_passages.docid: 108545
negative_passages.text: Why does a translation matrix need extra row?
negative_passages.docid: 21571
negative_passages.text: Why are real symmetric matrices diagonalizable?
negative_passages.docid: 116457
negative_passages.text: Should I use multiplication or division?
negative_passages.docid: 7514
negative_passages.text: Memory control in the Matrix
negative_passages.docid: 87636
negative_passages.text: A Product function for matrix products
negative_passages.docid: 99530
negative_passages.text: Algorithm to multiply nimbers
negative_passages.docid: 102595
negative_passages.text: Number of ones in Binary matrix multiplication
negative_passages.docid: 84626
negative_passages.text: Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
negative_passages.docid: 65165
negative_passages.text: Transform Matrix multiplication order
negative_passages.docid: 58476
negative_passages.text: Why can a matrix whose kth power is I be diagonalized?