query: Why is matrix multiplication useful?
positive_passages.docid: 25604
positive_passages.text: Why, historically, do we multiply matrices as we do?
negative_passages.docid: 116184
negative_passages.text: Fast(est) and intuitive ways to look at matrix multiplication?
negative_passages.docid: 55890
negative_passages.text: Why do we use cross products in physics?
negative_passages.docid: 61125
negative_passages.text: How to speed up matrix multiplication in C++?
negative_passages.docid: 66995
negative_passages.text: Why is a projection matrix symmetric?
negative_passages.docid: 15199
negative_passages.text: What is the use of the Dot Product of two vectors?
negative_passages.docid: 7514
negative_passages.text: Memory control in the Matrix
negative_passages.docid: 150619
negative_passages.text: Why do we need a diagonal matrix?
negative_passages.docid: 39585
negative_passages.text: Connection between rank and matrix product
negative_passages.docid: 61230
negative_passages.text: Optimized matrix multiplication in C
negative_passages.docid: 74693
negative_passages.text: difference between linear transformation and its matrix representation .
negative_passages.docid: 125435
negative_passages.text: Practical application for linear transformations
negative_passages.docid: 33559
negative_passages.text: Product or sum of invertible matrix give an invertible matrix?
negative_passages.docid: 119662
negative_passages.text: understanding projection matrices
negative_passages.docid: 68491
negative_passages.text: Why Did the Machines Even Bother With a Matrix?
negative_passages.docid: 16419
negative_passages.text: Is there any fast method of matrix exponentiation?
negative_passages.docid: 56312
negative_passages.text: Why can this product of rectangular matrices not be the identity matrix?