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Important Theorems to know for Midterm 2 # 2.pdf
Important Theorems to know for Midterm 2 # 2.pdf

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School
University of Ottawa
Department
Mathematics
Course
MAT1302
Professor
Alistair Savage
Semester
Winter

Description
Each column of AB is a linear combination of the columns of A using weights from the corresponding column B AB has the same number of rows as A and the same number of columns as B If the product AB is the 0 matrix you CANNOT conclude in general that either A0 or B0 The transpose of a product of matrices equals the product of their transposes in the reverse order111The inverse of ABBA The product of n x n invertible matrices is invertible and the inverse is the product of their inverses in the reverse order An invertible matrix A is row equivalent to an identity matrixAn elementary matrix is one that is obtained by performing a single elementary row operation on an identity matri
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