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24 Terms
What is a linear system
What is an MxN matrix, and what entry is a12
What is the difference between a coefficient and augmented matrix
What is an elementary row operation
When is a matrix in echelon form and when is a matrix in row reduced echelon form
What is a pivot column and pivot position
What is the gaussian elimination method for solving linear equations
When is there no solutions, infinitely many, or one unique solution to a linear system
What is a transpose of a matrix
What is a linear combination of matrices and what is the span.
How do you do matrix multiplication
Are (AB)x and A(B(x)) the same?
What is row column rule for matrix multiplication
What is outer product rule for matrix multiplication
What is an identity matrix and what are some identities of matrices. What is a key non-identity of a matrix
Matrices are not commutative.
Properties of transposes
What is an elementary matrix and what is a permutation matrix?
What happens if you multiply a matrix by an elementary matrix?
Example from previous flashcard
What is the inverse of a matrix
Are elementary matrices always invertible?
Properties of invertible matrices
When is a matrix invertible and what is a general formula?
How do you find the inverse of a matrix?
