query: Why is Matrix Multiplication Not Defined Like This?
positive_passages.docid: 22182
positive_passages.text: why don't we define vector multiplication component-wise?
negative_passages.docid: 77587
negative_passages.text: Cross product: matrix transformation identity
negative_passages.docid: 70676
negative_passages.text: Matrix product notation
negative_passages.docid: 39466
negative_passages.text: Multiplication operator has no no eigenvalues
negative_passages.docid: 70723
negative_passages.text: Why are nonsquare matrices not invertible?
negative_passages.docid: 58476
negative_passages.text: Why can a matrix whose kth power is I be diagonalized?
negative_passages.docid: 119301
negative_passages.text: Is the following matrix invertible?
negative_passages.docid: 44333
negative_passages.text: Why do elementary matrix operations not affect the row space of a given matrix?
negative_passages.docid: 123183
negative_passages.text: Multiply each element in a vector by itself to create a matrix
negative_passages.docid: 48544
negative_passages.text: Why is cross product defined in the way that it is?
negative_passages.docid: 11397
negative_passages.text: How do I write this matrix as a product of elementary row matrices.
negative_passages.docid: 71492
negative_passages.text: Matrix of Linear Transformation by right multiplication
negative_passages.docid: 55435
negative_passages.text: Parenthesis vs brackets for matrices
negative_passages.docid: 1086
negative_passages.text: What is the physical significance of dot & cross product of vectors? Why is division not defined for vectors?
negative_passages.docid: 125172
negative_passages.text: Why can't I define both implicit and explicit operators?
negative_passages.docid: 7038
negative_passages.text: Why does MatrixForm affect calculations?
negative_passages.docid: 41860
negative_passages.text: Linear Transformation and Matrices